{"id":14195,"date":"2025-06-07T02:30:07","date_gmt":"2025-06-06T19:30:07","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=14195"},"modified":"2025-07-04T06:45:07","modified_gmt":"2025-07-03T23:45:07","slug":"thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/","title":{"rendered":"Th\u1eeba s\u1ed1 l\u00e0 g\u00ec? C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Thua_so_la_gi\" >Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Thua_so_nguyen_to_la_gi\" >Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 g\u00ec?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Cach_phan_tich_mot_so_thanh_cac_thua_so\" >C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Cach_phan_tich_so_nguyen_co_ban_ra_thua_so\" >C\u00e1ch ph\u00e2n t\u00edch s\u1ed1 nguy\u00ean c\u01a1 b\u1ea3n ra th\u1eeba s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Cach_phan_tich_cac_so_lon_thanh_thua_so\" >C\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Cac_dang_bai_tap_ve_thua_so_%E2%80%93_tich_va_phep_nhan\" >C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp v\u1ec1 th\u1eeba s\u1ed1 &#8211; t\u00edch v\u00e0 ph\u00e9p nh\u00e2n<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Dang_1_Xac_dinh_gia_tri_cua_thua_so_tich_trong_phep_nhan\" >D\u1ea1ng 1: X\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a th\u1eeba s\u1ed1, t\u00edch trong ph\u00e9p nh\u00e2n<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Dang_2_Tinh_gia_tri_cua_tich\" >D\u1ea1ng 2: T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a t\u00edch<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Dang_3_Toan_do_bai_toan_co_loi_van\" >D\u1ea1ng 3: To\u00e1n \u0111\u1ed1 (b\u00e0i to\u00e1n c\u00f3 l\u1eddi v\u0103n)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Luu_y_khi_thuc_hien_phan_tich_mot_so_thanh_cac_thua_so\" >L\u01b0u \u00fd khi th\u1ef1c hi\u1ec7n ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/thua-so-la-gi-cach-phan-tich-mot-so-thanh-cac-thua-so\/#Cach_phan_biet_so_hang_va_thua_so_trong_toan_hoc\" >C\u00e1ch ph\u00e2n bi\u1ec7t s\u1ed1 h\u1ea1ng v\u00e0 th\u1eeba s\u1ed1 trong to\u00e1n h\u1ecdc<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>B\u1ea1n \u0111\u00e3 bao gi\u1edd th\u1eafc m\u1eafc &#8216;Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?&#8217; v\u00e0 t\u1ea1i sao ch\u00fang l\u1ea1i quan tr\u1ecdng \u0111\u1ebfn v\u1eady trong th\u1ebf gi\u1edbi s\u1ed1 h\u1ecdc? \u0110\u1eb1ng sau m\u1ed7i con s\u1ed1 \u0111\u1ec1u \u1ea9n ch\u1ee9a nh\u1eefng b\u00ed m\u1eadt th\u00fa v\u1ecb, v\u00e0 ch\u00fang ta c\u00f3 th\u1ec3 &#8216;gi\u1ea3i m\u00e3&#8217; ch\u00fang th\u00f4ng qua vi\u1ec7c ph\u00e2n t\u00edch th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1. \u0110\u1ebfn v\u1edbi b\u00e0i vi\u1ebft n\u00e0y, b\u1ea1n s\u1ebd \u0111\u01b0\u1ee3c kh\u00e1m ph\u00e1 m\u1ed9t h\u00e0nh tr\u00ecnh th\u00fa v\u1ecb, t\u00ecm hi\u1ec3u s\u00e2u h\u01a1n v\u1ec1 th\u1eeba s\u1ed1 v\u00e0 b\u00ed quy\u1ebft \u0111\u1ec3 ph\u00e2n t\u00edch ch\u00fang m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c!<\/p>\n<p>                        View all<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Thua_so_la_gi\"><\/span>Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Th\u1eeba s\u1ed1 l\u00e0 g\u00ec? Th\u1eeba s\u1ed1, hi\u1ec3u m\u1ed9t c\u00e1ch \u0111\u01a1n gi\u1ea3n, l\u00e0 nh\u1eefng y\u1ebfu t\u1ed1 c\u1ea5u th\u00e0nh n\u00ean m\u1ed9t s\u1ed1 th\u00f4ng qua ph\u00e9p nh\u00e2n. M\u1ed9t s\u1ed1 c\u00f3 th\u1ec3 c\u00f3 nhi\u1ec1u c\u00e1ch bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng t\u00edch c\u1ee7a c\u00e1c th\u1eeba s\u1ed1.<\/p>\n<p dir=\"ltr\">\u0110i\u1ec1u n\u00e0y t\u01b0\u01a1ng t\u1ef1 nh\u01b0 vi\u1ec7c m\u1ed9t c\u00e2u chuy\u1ec7n c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c k\u1ec3 b\u1eb1ng nhi\u1ec1u c\u00e1ch kh\u00e1c nhau, nh\u01b0ng m\u1ed7i phi\u00ean b\u1ea3n \u0111\u1ec1u mang m\u1ed9t th\u00f4ng \u0111i\u1ec7p c\u1ed1t l\u00f5i. Hay, khi b\u1ea1n x\u00e2y d\u1ef1ng m\u1ed9t ng\u00f4i nh\u00e0 b\u1eb1ng g\u1ea1ch, m\u1ed7i vi\u00ean g\u1ea1ch l\u00e0 m\u1ed9t ph\u1ea7n c\u01a1 b\u1ea3n gi\u00fap c\u1ea5u th\u00e0nh ng\u00f4i nh\u00e0. Trong to\u00e1n h\u1ecdc, khi x\u00e9t \u0111\u1ebfn vi\u1ec7c ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00f4ng qua ph\u00e9p nh\u00e2n, th\u1eeba s\u1ed1 ch\u00ednh l\u00e0 nh\u1eefng &#8221; vi\u00ean g\u1ea1ch&#8221; \u0111\u00f3.<\/p>\n<p dir=\"ltr\">\u0110\u1ec3 minh h\u1ecda cho kh\u00e1i ni\u1ec7m n\u00e0y, x\u00e9t s\u1ed1 36:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">36 = 6 x 6 =&gt; 6 l\u00e0 th\u1eeba s\u1ed1<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">36 = 4 x 9 =&gt; 4 v\u00e0 9 \u0111\u1ec1u l\u00e0 th\u1eeba s\u1ed1<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">36 = 3 x 12 =&gt; 3 v\u00e0 12 c\u0169ng l\u00e0 th\u1eeba s\u1ed1<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Nh\u01b0 v\u1eady, qua c\u00e1c v\u00ed d\u1ee5, ch\u00fang ta th\u1ea5y m\u1ed9t s\u1ed1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n th\u00f4ng qua nhi\u1ec1u b\u1ed9 th\u1eeba s\u1ed1 kh\u00e1c nhau. S\u1ef1 nh\u1eadn bi\u1ebft n\u00e0y gi\u00fap ta hi\u1ec3u s\u00e2u h\u01a1n v\u1ec1 c\u1ea5u tr\u00fac v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a s\u1ed1, c\u0169ng nh\u01b0 n\u00e2ng cao kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft b\u00e0i to\u00e1n trong to\u00e1n h\u1ecdc.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/1-thua-so-la-gi.png\" alt=\"Th\u1eeba s\u1ed1 l\u00e0 g\u00ec? (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Thua_so_nguyen_to_la_gi\"><\/span>Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 g\u00ec?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 g\u00ec? M\u1ed7i s\u1ed1 t\u1ef1 nhi\u00ean l\u1edbn h\u01a1n 1 \u0111\u1ec1u c\u00f3 th\u1ec3 bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng t\u00edch c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1. C\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 n\u00e0y \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 &#8220;th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1&#8221; c\u1ee7a s\u1ed1 \u0111\u00f3.<\/p>\n<p dir=\"ltr\">C\u1ee5 th\u1ec3 nh\u01b0 sau:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 nguy\u00ean t\u1ed1: \u0110\u1ea7u ti\u00ean, ta c\u1ea7n hi\u1ec3u r\u1eb1ng m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 s\u1ed1 t\u1ef1 nhi\u00ean l\u1edbn h\u01a1n 1 m\u00e0 ch\u1ec9 chia h\u1ebft cho 1 v\u00e0 ch\u00ednh n\u00f3. V\u00ed d\u1ee5, 2, 3, 5 v\u00e0 7 \u0111\u1ec1u l\u00e0 c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 v\u00ec ch\u00fang kh\u00f4ng chia h\u1ebft cho b\u1ea5t k\u1ef3 s\u1ed1 t\u1ef1 nhi\u00ean n\u00e0o kh\u00e1c ngo\u00e0i 1 v\u00e0 ch\u00ednh n\u00f3.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ph\u00e2n t\u00edch th\u1eeba s\u1ed1: M\u1ed7i s\u1ed1 t\u1ef1 nhi\u00ean l\u1edbn h\u01a1n 1 \u0111\u1ec1u c\u00f3 th\u1ec3 ph\u00e2n t\u00edch th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1. Qu\u00e1 tr\u00ecnh n\u00e0y bao g\u1ed3m vi\u1ec7c t\u00e1ch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf h\u01a1n m\u1ed9t c\u00e1ch li\u00ean ti\u1ebfp cho \u0111\u1ebfn khi ch\u00fang ta ch\u1ec9 c\u00f2n l\u1ea1i c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1: Trong qu\u00e1 tr\u00ecnh ph\u00e2n t\u00edch th\u1eeba s\u1ed1, nh\u1eefng s\u1ed1 nguy\u00ean t\u1ed1 m\u00e0 ta thu \u0111\u01b0\u1ee3c \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 c\u1ee7a s\u1ed1 ban \u0111\u1ea7u.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">V\u00ed d\u1ee5: X\u00e9t s\u1ed1 56<\/p>\n<p dir=\"ltr\">\u0110\u1ea7u ti\u00ean, ta chia 56 cho s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf nh\u1ea5t, l\u00e0 2. Ta \u0111\u01b0\u1ee3c 28.<\/p>\n<p dir=\"ltr\">Ti\u1ebfp t\u1ee5c chia 28 cho 2, ta \u0111\u01b0\u1ee3c 14.<\/p>\n<p dir=\"ltr\">Cu\u1ed1i c\u00f9ng, chia 14 cho 2 ta \u0111\u01b0\u1ee3c 7, m\u00e0 7 l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1.<\/p>\n<p dir=\"ltr\">V\u1eady, 56 c\u00f3 th\u1ec3 bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng 56 = 2 \u00d7 2 \u00d7 2 \u00d7 7. \u1ede \u0111\u00e2y, 2 v\u00e0 7 \u0111\u1ec1u l\u00e0 th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 c\u1ee7a 56.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2-thua-so-la-gi.png\" alt=\"Th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 g\u00ec? (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_phan_tich_mot_so_thanh_cac_thua_so\"><\/span>C\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 ph\u1ea7n h\u01b0\u1edbng d\u1eabn c\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 \u0111\u01a1n gi\u1ea3n v\u00e0 ch\u00ednh x\u00e1c nh\u1ea5t.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_phan_tich_so_nguyen_co_ban_ra_thua_so\"><\/span>C\u00e1ch ph\u00e2n t\u00edch s\u1ed1 nguy\u00ean c\u01a1 b\u1ea3n ra th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec3 ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 nguy\u00ean c\u01a1 b\u1ea3n ra th\u1eeba s\u1ed1, ta c\u1ea7n ti\u1ebfp c\u1eadn theo m\u1ed9t ph\u01b0\u01a1ng ph\u00e1p c\u00f3 h\u1ec7 th\u1ed1ng v\u00e0 m\u1ea1ch l\u1ea1c. Chi ti\u1ebft nh\u01b0 sau:<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 1 &#8211; Hi\u1ec3u r\u00f5 th\u1eeba s\u1ed1 l\u00e0 g\u00ec:<\/p>\n<p dir=\"ltr\">Tr\u01b0\u1edbc ti\u00ean, ta c\u1ea7n hi\u1ec3u r\u1eb1ng th\u1eeba s\u1ed1 l\u00e0 g\u00ec. Trong b\u1ea3n ch\u1ea5t, th\u1eeba s\u1ed1 l\u00e0 nh\u1eefng s\u1ed1 t\u1ef1 nhi\u00ean m\u00e0 khi nh\u00e2n v\u1edbi nhau s\u1ebd t\u1ea1o ra m\u1ed9t s\u1ed1 cho tr\u01b0\u1edbc. M\u1ed9t s\u1ed1 nguy\u00ean b\u1ea5t k\u1ef3 \u0111\u1ec1u c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng m\u1ed9t t\u00edch c\u1ee7a m\u1ed9t ho\u1eb7c nhi\u1ec1u th\u1eeba s\u1ed1.<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 2 &#8211; B\u1eaft \u0111\u1ea7u v\u1edbi s\u1ed1 nh\u1ecf nh\u1ea5t:<\/p>\n<p dir=\"ltr\">Ch\u1ecdn s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf nh\u1ea5t (l\u00e0 2) v\u00e0 th\u1eed chia s\u1ed1 c\u1ea7n ph\u00e2n t\u00edch cho s\u1ed1 \u0111\u00f3. N\u1ebfu chia h\u1ebft, ghi nh\u1eadn l\u1ea1i s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u00f3 l\u00e0 m\u1ed9t th\u1eeba s\u1ed1.<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 3 &#8211; L\u1eb7p l\u1ea1i qu\u00e1 tr\u00ecnh:<\/p>\n<p dir=\"ltr\">Sau khi t\u00e1ch ra m\u1ed9t th\u1eeba s\u1ed1, chia s\u1ed1 ban \u0111\u1ea7u cho th\u1eeba s\u1ed1 \u0111\u00f3 \u0111\u1ec3 c\u00f3 \u0111\u01b0\u1ee3c m\u1ed9t s\u1ed1 m\u1edbi. L\u1eb7p l\u1ea1i qu\u00e1 tr\u00ecnh n\u00e0y cho \u0111\u1ebfn khi s\u1ed1 m\u1edbi kh\u00f4ng th\u1ec3 chia h\u1ebft cho b\u1ea5t k\u1ef3 s\u1ed1 nguy\u00ean t\u1ed1 n\u00e0o kh\u00e1c.<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 4 &#8211; Ki\u1ec3m tra c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo:<\/p>\n<p dir=\"ltr\">N\u1ebfu s\u1ed1 c\u1ea7n ph\u00e2n t\u00edch kh\u00f4ng chia h\u1ebft cho m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1, ta c\u1ea7n chuy\u1ec3n sang s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo v\u00e0 th\u1eed chia. Ti\u1ebfp t\u1ee5c qu\u00e1 tr\u00ecnh n\u00e0y cho \u0111\u1ebfn khi ph\u00e2n t\u00edch ho\u00e0n to\u00e0n s\u1ed1 ban \u0111\u1ea7u.<\/p>\n<p dir=\"ltr\">B\u01b0\u1edbc 5 &#8211; K\u1ebft h\u1ee3p c\u00e1c th\u1eeba s\u1ed1:<\/p>\n<p dir=\"ltr\">Cu\u1ed1i c\u00f9ng, k\u1ebft h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u00e3 t\u00ecm ra \u0111\u1ec3 bi\u1ec3u di\u1ec5n s\u1ed1 ban \u0111\u1ea7u d\u01b0\u1edbi d\u1ea1ng t\u00edch c\u1ee7a c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-thua-so-la-gi.png\" alt=\"C\u00e1ch ph\u00e2n t\u00edch s\u1ed1 nguy\u00ean c\u01a1 b\u1ea3n ra th\u1eeba s\u1ed1. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: Ta l\u1ea5y s\u1ed1 72 \u0111\u1ec3 ph\u00e2n t\u00edch<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">B\u1eaft \u0111\u1ea7u v\u1edbi s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u1ea7u ti\u00ean l\u00e0 2. 72 chia h\u1ebft cho 2, v\u00ec v\u1eady 2 l\u00e0 m\u1ed9t th\u1eeba s\u1ed1. Khi chia 72 cho 2, ta \u0111\u01b0\u1ee3c s\u1ed1 m\u1edbi l\u00e0 36.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">36 v\u1eabn chia h\u1ebft cho 2, l\u1ea5y 2 l\u00e0 th\u1eeba s\u1ed1 ti\u1ebfp theo. Khi chia 36 cho 2, ta c\u00f3 s\u1ed1 m\u1edbi l\u00e0 18.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ti\u1ebfp t\u1ee5c v\u1edbi 18, n\u00f3 c\u0169ng chia h\u1ebft cho 2, cho ra k\u1ebft qu\u1ea3 l\u00e0 9.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">9 kh\u00f4ng chia h\u1ebft cho 2, v\u00ec v\u1eady ta chuy\u1ec3n sang s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo l\u00e0 3. 9 chia h\u1ebft cho 3, cho ta 3 l\u00e0 th\u1eeba s\u1ed1 ti\u1ebfp theo.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">K\u1ebft qu\u1ea3 cu\u1ed1i c\u00f9ng, 72 c\u00f3 th\u1ec3 bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng 72 = 2 x 2 x 2 x 3 x 3 hay 72 = 2^3 x 3^2.<\/p>\n<\/li>\n<\/ul>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_phan_tich_cac_so_lon_thanh_thua_so\"><\/span>C\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn c\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1, chi ti\u1ebft nh\u01b0 sau:<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">X\u00e1c \u0111\u1ecbnh \u0111i\u1ec3m kh\u1edfi \u0111\u1ea7u: B\u1eaft \u0111\u1ea7u b\u1eb1ng vi\u1ec7c chia s\u1ed1 l\u1edbn \u0111\u00f3 cho c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf nh\u1ea5t nh\u01b0 2, 3, 5,&#8230; L\u01b0u \u00fd r\u1eb1ng n\u1ebfu s\u1ed1 b\u1ea1n ph\u00e2n t\u00edch l\u00e0 ch\u1eb5n, s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u1ea7u ti\u00ean s\u1ebd l\u00e0 2.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ti\u1ebfn tr\u00ecnh chia: M\u1ed7i l\u1ea7n chia, n\u1ebfu s\u1ed1 ban \u0111\u1ea7u chia h\u1ebft cho s\u1ed1 nguy\u00ean t\u1ed1 \u0111ang x\u00e9t, ghi nh\u1eadn s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u00f3 v\u00e0 ti\u1ebfp t\u1ee5c chia th\u01b0\u01a1ng cho s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u00f3 cho \u0111\u1ebfn khi kh\u00f4ng chia h\u1ebft.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Chuy\u1ec3n sang s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo: Sau khi kh\u00f4ng th\u1ec3 chia n\u1eefa b\u1eb1ng s\u1ed1 nguy\u00ean t\u1ed1 hi\u1ec7n t\u1ea1i, chuy\u1ec3n sang s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo v\u00e0 l\u1eb7p l\u1ea1i qu\u00e1 tr\u00ecnh.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">X\u00e1c \u0111\u1ecbnh s\u1ed1 l\u1ebb: \u0110\u1ed1i v\u1edbi s\u1ed1 l\u1ebb, c\u1ea7n ki\u00ean nh\u1eabn h\u01a1n. B\u1eaft \u0111\u1ea7u b\u1eb1ng vi\u1ec7c th\u1eed chia cho 3, sau \u0111\u00f3 l\u00e0 5, 7 v\u00e0 ti\u1ebfp t\u1ee5c v\u1edbi c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 cao h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">X\u00e1c minh k\u1ebft qu\u1ea3: Khi th\u01b0\u01a1ng cu\u1ed1i c\u00f9ng l\u00e0 1, b\u1ea1n \u0111\u00e3 t\u00ecm ra t\u1ea5t c\u1ea3 th\u1eeba s\u1ed1. L\u00fac n\u00e0y, b\u1ea1n n\u00ean nh\u00e2n t\u1ea5t c\u1ea3 th\u1eeba s\u1ed1 \u0111\u00e3 t\u00ecm \u0111\u01b0\u1ee3c l\u1ea1i v\u1edbi nhau \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o r\u1eb1ng k\u1ebft qu\u1ea3 tr\u00f9ng kh\u1edbp v\u1edbi s\u1ed1 ban \u0111\u1ea7u.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u00f3m t\u1eaft: Cu\u1ed1i c\u00f9ng, ghi l\u1ea1i s\u1ed1 l\u1edbn ban \u0111\u1ea7u d\u01b0\u1edbi d\u1ea1ng t\u00edch c\u1ee7a c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 b\u1ea1n \u0111\u00e3 x\u00e1c \u0111\u1ecbnh.<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\"><em>Ch\u00fa \u00fd r\u1eb1ng, qu\u00e1 tr\u00ecnh ph\u00e2n t\u00edch th\u1eeba s\u1ed1 cho m\u1ed9t s\u1ed1 l\u1edbn \u0111\u00f4i khi c\u00f3 th\u1ec3 m\u1ea5t th\u1eddi gian h\u01a1n v\u00e0 c\u1ea7n s\u1ef1 ki\u00ean nh\u1eabn l\u1edbn t\u1eeb ph\u00eda ng\u01b0\u1eddi h\u1ecdc.<\/em><\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/4-thua-so-la-gi.png\" alt=\"C\u00e1ch ph\u00e2n t\u00edch c\u00e1c s\u1ed1 l\u1edbn th\u00e0nh th\u1eeba s\u1ed1. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: Ph\u00e2n t\u00edch s\u1ed1 1260 th\u00e0nh th\u1eeba s\u1ed1?<\/p>\n<ol>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">X\u00e1c \u0111\u1ecbnh s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u1ea7u ti\u00ean \u0111\u1ec3 chia. S\u1ed1 1260 l\u00e0 ch\u1eb5n n\u00ean ta s\u1ebd chia cho 2. 1260 : 2 = 630<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 thu \u0111\u01b0\u1ee3c sau khi chia, 630, v\u1eabn l\u00e0 ch\u1eb5n. Chia ti\u1ebfp cho 2. 630 : 2 = 315<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 315 kh\u00f4ng ph\u1ea3i l\u00e0 s\u1ed1 ch\u1eb5n, n\u00ean ta s\u1ebd th\u1eed chia cho s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo l\u00e0 3. 315 : 3=105<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ti\u1ebfp t\u1ee5c chia 105 cho s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo. 105 : 3 = 35<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Chia s\u1ed1 35 cho s\u1ed1 nguy\u00ean t\u1ed1 ti\u1ebfp theo. 35 : 5 = 7<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 7 l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1, v\u1eady n\u00ean ta kh\u00f4ng th\u1ec3 chia ti\u1ebfp.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">K\u1ebft lu\u1eadn: S\u1ed1 1260 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n t\u00edch th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 2 \u00d7 2 \u00d7 3 \u00d7 3 \u00d7 5 \u00d7 7 ho\u1eb7c 2^2 x 3^2 x 5 x 7<\/p>\n<\/li>\n<\/ol>\n<p dir=\"ltr\">L\u01b0u \u00fd: Khi b\u1ea1n nh\u00e2n t\u1ea5t c\u1ea3 c\u00e1c th\u1eeba s\u1ed1 n\u00e0y l\u1ea1i v\u1edbi nhau, b\u1ea1n s\u1ebd thu \u0111\u01b0\u1ee3c s\u1ed1 ban \u0111\u1ea7u, 1260. \u0110i\u1ec1u n\u00e0y gi\u00fap x\u00e1c nh\u1eadn r\u1eb1ng b\u1ea1n \u0111\u00e3 t\u00ecm ra t\u1ea5t c\u1ea3 th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 c\u1ee7a s\u1ed1 \u0111\u00f3 m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c.<\/p>\n<p dir=\"ltr\">\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_dang_bai_tap_ve_thua_so_%E2%80%93_tich_va_phep_nhan\"><\/span>C\u00e1c d\u1ea1ng b\u00e0i t\u1eadp v\u1ec1 th\u1eeba s\u1ed1 &#8211; t\u00edch v\u00e0 ph\u00e9p nh\u00e2n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp v\u1ec1 th\u1eeba s\u1ed1 &#8211; t\u00edch v\u00e0 ph\u00e9p nh\u00e2n th\u01b0\u1eddng g\u1eb7p trong ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc m\u00e0 b\u1ea1n c\u00f3 th\u1ec3 tham kh\u1ea3o.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_1_Xac_dinh_gia_tri_cua_thua_so_tich_trong_phep_nhan\"><\/span>D\u1ea1ng 1: X\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a th\u1eeba s\u1ed1, t\u00edch trong ph\u00e9p nh\u00e2n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">M\u1ed9t trong nh\u1eefng kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n trong to\u00e1n h\u1ecdc l\u00e0 hi\u1ec3u r\u00f5 v\u1ec1 &#8220;th\u1eeba s\u1ed1&#8221; v\u00e0 &#8220;t\u00edch&#8221;. Th\u1eeba s\u1ed1 l\u00e0 g\u00ec? Th\u1eeba s\u1ed1 l\u00e0 nh\u1eefng s\u1ed1 \u0111\u01b0\u1ee3c nh\u00e2n v\u1edbi nhau \u0111\u1ec3 t\u1ea1o ra m\u1ed9t t\u00edch. Khi b\u1ea1n c\u00f3 m\u1ed9t ph\u00e9p nh\u00e2n, s\u1ed1 b\u1ea1n nh\u00e2n g\u1ecdi l\u00e0 th\u1eeba s\u1ed1, c\u00f2n k\u1ebft qu\u1ea3 g\u1ecdi l\u00e0 t\u00edch.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: X\u00e9t ph\u00e9p nh\u00e2n: 4 \u00d7 5 = 20.<\/p>\n<p dir=\"ltr\">Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y:\u00a0<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">4 v\u00e0 5 ch\u00ednh l\u00e0 th\u1eeba s\u1ed1 c\u1ee7a ph\u00e9p nh\u00e2n.\u00a0<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">20 l\u00e0 t\u00edch, t\u1ee9c l\u00e0 k\u1ebft qu\u1ea3 c\u1ee7a vi\u1ec7c nh\u00e2n 4 v\u1edbi 5.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/5-thua-so-la-gi.png\" alt=\"D\u1ea1ng 1: X\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb c\u1ee7a th\u1eeba s\u1ed1, t\u00edch trong ph\u00e9p nh\u00e2n. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_2_Tinh_gia_tri_cua_tich\"><\/span>D\u1ea1ng 2: T\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a t\u00edch<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a t\u00edch m\u1ed9t c\u00e1ch tr\u1ef1c quan v\u00e0 d\u1ec5 d\u00e0ng, ta c\u00f3 th\u1ec3 chuy\u1ec3n ph\u00e9p nh\u00e2n v\u1ec1 d\u1ea1ng t\u1ed5ng c\u1ee7a nhi\u1ec1u s\u1ed1 h\u1ea1ng gi\u1ed1ng nhau.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5: X\u00e9t ph\u00e9p nh\u00e2n 4 \u00d7 3.<\/p>\n<p dir=\"ltr\">\u0110\u1ec3 t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a t\u00edch n\u00e0y, ta c\u00f3 th\u1ec3 coi nh\u01b0 vi\u1ec7c c\u1ed9ng l\u1ea1i s\u1ed1 4 t\u1ed5ng c\u1ed9ng 3 l\u1ea7n: 4 \u00d7 3 = 4 + 4 + 4 = 12.<\/p>\n<p dir=\"ltr\">\u1ede \u0111\u00e2y:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">4 v\u00e0 3 l\u00e0 th\u1eeba s\u1ed1 c\u1ee7a ph\u00e9p nh\u00e2n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">12 ch\u00ednh l\u00e0 t\u00edch, hay k\u1ebft qu\u1ea3 khi nh\u00e2n 4 v\u1edbi 3.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Qua c\u00e1ch bi\u1ec3u di\u1ec5n n\u00e0y, vi\u1ec7c t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a t\u00edch tr\u1edf n\u00ean d\u1ec5 d\u00e0ng v\u00e0 tr\u1ef1c quan h\u01a1n, gi\u00fap h\u1ecdc sinh n\u1eafm b\u1eaft \u0111\u01b0\u1ee3c c\u01a1 b\u1ea3n c\u1ee7a ph\u00e9p nh\u00e2n. M\u1ed9t \u0111i\u1ec1u quan tr\u1ecdng kh\u00e1c l\u00e0 h\u1ecdc sinh c\u0169ng c\u00f3 th\u1ec3 th\u1ea5y m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa ph\u00e9p nh\u00e2n v\u00e0 ph\u00e9p c\u1ed9ng, gi\u00fap tr\u1ebb hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 c\u1ea5u tr\u00fac v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u00e1c ph\u00e9p to\u00e1n.<\/p>\n<table style=\"border-collapse: collapse;width: 100.01%;background-color: #fbeeb8\" border=\"1\">\n<tr>\n<td style=\"width: 98.5932%\">\n<p style=\"text-align: center\">\u0110\u1eeaNG B\u1ece L\u1ee0!!<\/p>\n<p style=\"text-align: center\">Ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc To\u00e1n b\u1eb1ng ti\u1ebfng Anh, gi\u00fap ph\u00e1t tri\u1ec3n t\u01b0 duy m\u1ed9t c\u00e1ch to\u00e0n di\u1ec7n nh\u1ea5t.<\/p>\n<p style=\"text-align: center\">Nh\u1eadn \u01b0u \u0111\u00e3i l\u00ean \u0111\u1ebfn 40% NGAY T\u1ea0I \u0110\u00c2Y!<img decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/taimienphiMM.png\" width=\"185\"><\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Dang_3_Toan_do_bai_toan_co_loi_van\"><\/span>D\u1ea1ng 3: To\u00e1n \u0111\u1ed1 (b\u00e0i to\u00e1n c\u00f3 l\u1eddi v\u0103n)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">B\u00e0i to\u00e1n l\u1eddi v\u0103n, hay c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 to\u00e1n \u0111\u1ed1, th\u01b0\u1eddng \u0111\u00f2i h\u1ecfi h\u1ecdc sinh kh\u00f4ng ch\u1ec9 \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1ec1 to\u00e1n h\u1ecdc m\u00e0 c\u00f2n ph\u1ea3i ph\u00e2n t\u00edch v\u00e0 t\u01b0 duy logic. \u0110\u1ec3 gi\u1ea3i quy\u1ebft nh\u1eefng b\u00e0i to\u00e1n n\u00e0y, vi\u1ec7c hi\u1ec3u r\u00f5 &#8220;th\u1eeba s\u1ed1 l\u00e0 g\u00ec&#8221; v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng th\u00f4ng tin v\u1ec1 th\u1eeba s\u1ed1 v\u00e0o b\u00e0i to\u00e1n l\u00e0 r\u1ea5t quan tr\u1ecdng.<\/p>\n<p dir=\"ltr\">V\u00ed d\u1ee5:<\/p>\n<p dir=\"ltr\">An c\u00f3 m\u1ed9t h\u1ed9p bi. M\u1ed7i ng\u00e0y, c\u00f4 \u1ea5y mua th\u00eam 3 bi v\u00e0 th\u00eam v\u00e0o h\u1ed9p. Sau 4 ng\u00e0y, An c\u00f3 t\u1ed5ng c\u1ed9ng bao nhi\u00eau bi m\u1edbi?<\/p>\n<p dir=\"ltr\">H\u01b0\u1edbng d\u1eabn:<\/p>\n<p dir=\"ltr\">\u0110\u1ea7u ti\u00ean, ta c\u1ea7n x\u00e1c \u0111\u1ecbnh th\u1eeba s\u1ed1 trong b\u00e0i to\u00e1n. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y, th\u1eeba s\u1ed1 ch\u00ednh l\u00e0 s\u1ed1 bi m\u00e0 An mua m\u1ed7i ng\u00e0y (3 bi) v\u00e0 s\u1ed1 ng\u00e0y An mua bi (4 ng\u00e0y).<\/p>\n<p dir=\"ltr\">S\u1eed d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1ec1 ph\u00e9p nh\u00e2n, ta c\u00f3:<\/p>\n<p dir=\"ltr\">S\u1ed1 bi m\u1edbi sau 4 ng\u00e0y l\u00e0: 3 (bi\/ng\u00e0y) x 4 (ng\u00e0y) = 12 (bi)<\/p>\n<p dir=\"ltr\">V\u1eady, sau 4 ng\u00e0y, An c\u00f3 th\u00eam 12 bi m\u1edbi.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/6-thua-so-la-gi.png\" alt=\"D\u1ea1ng 3: To\u00e1n \u0111\u1ed1 (b\u00e0i to\u00e1n c\u00f3 l\u1eddi v\u0103n). (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Luu_y_khi_thuc_hien_phan_tich_mot_so_thanh_cac_thua_so\"><\/span>L\u01b0u \u00fd khi th\u1ef1c hi\u1ec7n ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Ph\u00e2n t\u00edch s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 l\u00e0 qu\u00e1 tr\u00ecnh t\u00e1ch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf nh\u1ea5t. \u0110\u1ec3 th\u1ef1c hi\u1ec7n qu\u00e1 tr\u00ecnh n\u00e0y m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c v\u00e0 hi\u1ec7u qu\u1ea3, b\u1ea1n c\u1ea7n ph\u1ea3i hi\u1ec3u r\u00f5 &#8220;th\u1eeba s\u1ed1 l\u00e0 g\u00ec&#8221; v\u00e0 tu\u00e2n th\u1ee7 m\u1ed9t s\u1ed1 l\u01b0u \u00fd sau:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Hi\u1ec3u r\u00f5 kh\u00e1i ni\u1ec7m th\u1eeba s\u1ed1: Tr\u01b0\u1edbc h\u1ebft, b\u1ea1n c\u1ea7n bi\u1ebft r\u1eb1ng th\u1eeba s\u1ed1 l\u00e0 m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean chia h\u1ebft cho s\u1ed1 \u0111ang x\u00e9t m\u00e0 kh\u00f4ng c\u00f2n d\u01b0. \u0110\u1eb7c bi\u1ec7t, s\u1ed1 nguy\u00ean t\u1ed1 ch\u00ednh l\u00e0 th\u1eeba s\u1ed1 m\u00e0 ch\u1ec9 chia h\u1ebft cho 1 v\u00e0 ch\u00ednh n\u00f3.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1eed d\u1ee5ng c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf tr\u01b0\u1edbc: B\u1eaft \u0111\u1ea7u qu\u00e1 tr\u00ecnh ph\u00e2n t\u00edch b\u1eb1ng c\u00e1ch chia cho c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 nh\u1ecf nh\u01b0 2, 3, 5, 7&#8230; \u0110i\u1ec1u n\u00e0y gi\u00fap lo\u1ea1i b\u1ecf c\u00e1c th\u1eeba s\u1ed1 d\u1ec5 d\u00e0ng v\u00e0 nhanh ch\u00f3ng.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Kh\u00f4ng x\u00e9t s\u1ed1 \u00e2m: Khi ph\u00e2n t\u00edch th\u1eeba s\u1ed1, h\u00e3y ch\u1ec9 x\u00e9t c\u00e1c s\u1ed1 d\u01b0\u01a1ng. \u0110\u1ed1i v\u1edbi s\u1ed1 \u00e2m, b\u1ea1n c\u00f3 th\u1ec3 xem x\u00e9t gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i c\u1ee7a n\u00f3.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Lu\u00f4n ghi ch\u00e9p r\u00f5 r\u00e0ng: Trong qu\u00e1 tr\u00ecnh ph\u00e2n t\u00edch, h\u00e3y ghi l\u1ea1i m\u1ed7i b\u01b0\u1edbc th\u1ef1c hi\u1ec7n \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o kh\u00f4ng b\u1ecf s\u00f3t b\u1ea5t k\u1ef3 th\u1eeba s\u1ed1 n\u00e0o.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ki\u1ec3m tra k\u1ef9: Sau khi t\u00ecm ra t\u1ea5t c\u1ea3 th\u1eeba s\u1ed1, b\u1ea1n n\u00ean nh\u00e2n ch\u00fang l\u1ea1i v\u1edbi nhau \u0111\u1ec3 x\u00e1c minh r\u1eb1ng t\u00edch c\u1ee7a ch\u00fang \u0111\u00fang b\u1eb1ng s\u1ed1 ban \u0111\u1ea7u.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1eed d\u1ee5ng c\u00e1c m\u1eb9o v\u00e0 k\u1ef9 thu\u1eadt: V\u00ed d\u1ee5, n\u1ebfu t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 chia h\u1ebft cho 9, th\u00ec s\u1ed1 \u0111\u00f3 c\u0169ng chia h\u1ebft cho 9. T\u01b0\u01a1ng t\u1ef1, s\u1ed1 chia h\u1ebft cho 2 n\u1ebfu s\u1ed1 cu\u1ed1i c\u00f9ng c\u1ee7a n\u00f3 l\u00e0 s\u1ed1 ch\u1eb5n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Luy\u1ec7n t\u1eadp th\u01b0\u1eddng xuy\u00ean: C\u00e0ng th\u1ef1c hi\u1ec7n nhi\u1ec1u, b\u1ea1n c\u00e0ng n\u1eafm v\u1eefng k\u1ef9 thu\u1eadt v\u00e0 ph\u00e1t hi\u1ec7n ra c\u00e1c th\u1eeba s\u1ed1 m\u1ed9t c\u00e1ch nhanh ch\u00f3ng.<\/p>\n<\/li>\n<\/ul>\n<p>Xem th\u00eam:<\/p>\n<ol>\n<li>Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math &#8211; \u1ee8ng d\u1ee5ng h\u1ecdc to\u00e1n b\u1eb1ng ti\u1ebfng Anh s\u1ed1 1 cho tr\u1ebb m\u1ea7m non &amp; ti\u1ec3u h\u1ecdc<\/li>\n<li>Ph\u00e9p nh\u00e2n g\u1ecdi l\u00e0 g\u00ec? T\u1ed5ng h\u1ee3p ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n nh\u1ea5t trong ph\u00e9p nh\u00e2n<\/li>\n<\/ol>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/7-thua-so-la-gi.png\" alt=\"L\u01b0u \u00fd khi th\u1ef1c hi\u1ec7n ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cach_phan_biet_so_hang_va_thua_so_trong_toan_hoc\"><\/span>C\u00e1ch ph\u00e2n bi\u1ec7t s\u1ed1 h\u1ea1ng v\u00e0 th\u1eeba s\u1ed1 trong to\u00e1n h\u1ecdc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Theo kh\u00e1i ni\u1ec7m, \u0111\u1ec3 ph\u00e2n bi\u1ec7t s\u1ed1 h\u1ea1ng v\u00e0 th\u1eeba s\u1ed1, ta c\u1ea7n d\u1ef1a v\u00e0o ph\u00e9p to\u00e1n m\u00e0 c\u00e1c s\u1ed1 tham gia.<\/p>\n<ul>\n<li dir=\"ltr\">N\u1ebfu c\u00e1c s\u1ed1 tham gia v\u00e0o m\u1ed9t ph\u00e9p c\u1ed9ng, th\u00ec \u0111\u00f3 l\u00e0 s\u1ed1 h\u1ea1ng.<\/li>\n<li dir=\"ltr\">N\u1ebfu c\u00e1c s\u1ed1 tham gia v\u00e0o m\u1ed9t ph\u00e9p nh\u00e2n, th\u00ec \u0111\u00f3 l\u00e0 th\u1eeba s\u1ed1.<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong ph\u00e9p c\u1ed9ng: 5 + 4 = 9<\/p>\n<p dir=\"ltr\">Ta c\u00f3:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">5 v\u00e0 4 l\u00e0 s\u1ed1 h\u1ea1ng c\u1ee7a ph\u00e9p c\u1ed9ng.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">9 l\u00e0 t\u00edch c\u1ee7a ph\u00e9p c\u1ed9ng.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">Trong ph\u00e9p nh\u00e2n: 2 x 3 = 6<\/p>\n<p dir=\"ltr\">Ta c\u00f3:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">2 v\u00e0 3 l\u00e0 th\u1eeba s\u1ed1 c\u1ee7a ph\u00e9p nh\u00e2n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">6 l\u00e0 t\u00edch c\u1ee7a ph\u00e9p nh\u00e2n.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\">L\u01b0u \u00fd:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Trong m\u1ed9t ph\u00e9p t\u00ednh, c\u00f3 th\u1ec3 c\u00f3 nhi\u1ec1u s\u1ed1 h\u1ea1ng ho\u1eb7c nhi\u1ec1u th\u1eeba s\u1ed1.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">S\u1ed1 h\u1ea1ng v\u00e0 th\u1eeba s\u1ed1 c\u00f3 th\u1ec3 l\u00e0 s\u1ed1 nguy\u00ean, s\u1ed1 th\u1ef1c, s\u1ed1 ph\u1ee9c, ho\u1eb7c th\u1eadm ch\u00ed l\u00e0 c\u00e1c bi\u1ec3u th\u1ee9c to\u00e1n h\u1ecdc.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/8-thua-so-la-gi.png\" alt=\"C\u00e1ch ph\u00e2n bi\u1ec7t s\u1ed1 h\u1ea1ng v\u00e0 th\u1eeba s\u1ed1 trong to\u00e1n h\u1ecdc. (\u1ea2nh: S\u01b0u t\u1ea7m Internet)\" width=\"100%\"><\/p>\n<\/p>\n<p dir=\"ltr\">T\u00f3m l\u1ea1i, \u0111\u1ec3 ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 th\u00e0nh th\u1eeba s\u1ed1 hay th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1, vi\u1ec7c n\u1eafm v\u1eefng kh\u00e1i ni\u1ec7m v\u00e0 tu\u00e2n theo c\u00e1c l\u01b0u \u00fd tr\u00ean s\u1ebd gi\u00fap b\u1ea1n th\u1ef1c hi\u1ec7n qu\u00e1 tr\u00ecnh n\u00e0y m\u1ed9t c\u00e1ch hi\u1ec7u qu\u1ea3 v\u00e0 ch\u00ednh x\u00e1c. Hy v\u1ecdng r\u1eb1ng nh\u1eefng ki\u1ebfn th\u1ee9c m\u00e0 Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef cung c\u1ea5p trong b\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n hi\u1ec3u \u0111\u01b0\u1ee3c kh\u00e1i ni\u1ec7m \u201cTh\u1eeba s\u1ed1 l\u00e0 g\u00ec?\u201d v\u00e0 c\u00e1c ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1 th\u00e0nh c\u00e1c th\u1eeba s\u1ed1. Ch\u00fac b\u1ea1n h\u1ecdc t\u1ed1t!<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n \u0111\u00e3 bao gi\u1edd th\u1eafc m\u1eafc &#8216;Th\u1eeba s\u1ed1 l\u00e0 g\u00ec?&#8217; v\u00e0 t\u1ea1i sao ch\u00fang l\u1ea1i quan tr\u1ecdng \u0111\u1ebfn v\u1eady trong th\u1ebf gi\u1edbi s\u1ed1 h\u1ecdc? \u0110\u1eb1ng sau m\u1ed7i con s\u1ed1 \u0111\u1ec1u \u1ea9n ch\u1ee9a nh\u1eefng b\u00ed m\u1eadt th\u00fa v\u1ecb, v\u00e0 ch\u00fang ta c\u00f3 th\u1ec3 &#8216;gi\u1ea3i m\u00e3&#8217; ch\u00fang th\u00f4ng qua vi\u1ec7c ph\u00e2n t\u00edch th\u00e0nh c\u00e1c th\u1eeba s\u1ed1 nguy\u00ean&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-14195","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14195","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=14195"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14195\/revisions"}],"predecessor-version":[{"id":16907,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/14195\/revisions\/16907"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=14195"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=14195"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=14195"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}