D\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3, d\u01b0 1, d\u01b0 2 m\u1edbi \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a v\u00e0 \u00e1p d\u1ee5ng g\u1ea7n \u0111\u00e2y. Tuy nhi\u00ean c\u00e1c d\u00e0n \u0111\u1ec1 n\u00e0y \u0111\u00e3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng kh\u00e1 th\u00e0nh c\u00f4ng b\u1edfi c\u00e1c cao th\u1ee7 l\u00f4 \u0111\u1ec1. Nh\u1eadn bi\u1ebft v\u00e0 \u0111\u1ecbnh ngh\u0129a c\u00e1c d\u00e0n \u0111\u1ec1 n\u00e0y c\u1ef1c k\u1ef3 d\u1ec5 d\u00e0ng ngay t\u1eeb t\u00ean g\u1ecdi c\u1ee7a n\u00f3. Ng\u01b0\u1eddi ta ph\u00e2n lo\u1ea1i c\u00e1c d\u00e0n \u0111\u1ec1 n\u00e0y theo s\u1ed1 d\u01b0 c\u1ee7a ph\u00e9p chia c\u1ee7a c\u00e1c s\u1ed1 trong d\u00e0n \u0111\u00f3 cho 3.<\/strong><\/p>\n L\u00e0 t\u1eadp h\u1ee3p c\u00e1c s\u1ed1 \u0111\u1ec1 chia h\u1ebft cho 3. C\u00f3 ngh\u0129a l\u00e0 s\u1ed1 d\u01b0 trong ph\u00e9p chia c\u1ee7a 1 s\u1ed1 b\u1ea5t k\u1ef3 trong d\u00e0n \u0111\u1ec1 n\u00e0y cho 3 \u0111\u1ec1u b\u1eb1ng 0.<\/p>\n V\u00ed d\u1ee5:<\/strong><\/em><\/p>\n => Hai s\u1ed1 24 v\u00e0 64 thu\u1ed9c d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3<\/em><\/p>\n Tuy c\u00e1ch h\u00ecnh dung v\u1ec1 d\u00e0n \u0111\u1ec1 n\u00e0y kh\u00e1 \u0111\u01a1n gi\u1ea3n. \u0110\u1ec3 d\u1ec5 nh\u1edb v\u00e0 t\u00ednh to\u00e1n nhanh h\u01a1n ta th\u01b0\u1eddng \u00e1p d\u1ee5ng 1 d\u1ea5u hi\u1ec7u trong to\u00e1n h\u1ecdc. \u0110\u00f3 l\u00e0 c\u00e1c s\u1ed1 chia h\u1ebft cho 3 khi t\u1ed5ng c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a n\u00f3 chia h\u1ebft cho 3. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y l\u00e0 c\u00e1c s\u1ed1 c\u00f3 t\u1ed5ng 2 ch\u1eef s\u1ed1 chia h\u1ebft cho 3 th\u00ec thu\u1ed9c d\u00e0n n\u00e0y.<\/p>\n V\u00ed d\u1ee5:<\/strong><\/em><\/p>\n => Hai s\u1ed1 87 v\u00e0 63 thu\u1ed9c d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3<\/em><\/p>\n D\u00e0n \u0111\u1ec1 n\u00e0y g\u1ed3m c\u00f3 34 s\u1ed1 d\u01b0\u1edbi \u0111\u00e2y:<\/p>\n 00, 03, 06, 09,12,15,18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99<\/p>\n C\u0169ng nh\u01b0 d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3. Ta \u00e1p d\u1ee5ng d\u1ea5u hi\u1ec7u cho 3 d\u01b0 1 c\u1ee7a s\u1ed1 t\u1ef1 nhi\u00ean \u0111\u1ec3 nh\u1eadn bi\u1ebft c\u00e1c s\u1ed1 trong d\u00e0n \u0111\u1ec1 n\u00e0y. \u0110\u00f3 l\u00e0 c\u00e1c s\u1ed1 n\u00e0y chia cho 3 d\u01b0 1 khi t\u1ed5ng 2 ch\u1eef s\u1ed1 chia 3 d\u01b0 1.<\/p>\n V\u00ed d\u1ee5:<\/strong><\/em><\/p>\n => Hai s\u1ed1 64 v\u00e0 58 thu\u1ed9c d\u00e0n \u0111\u1ec1 chia 3 d\u01b0 1<\/em><\/p>\n D\u00e0n \u0111\u1ec1 chia 3 d\u01b0 2 c\u00f3 33 s\u1ed1 g\u1ed3m c\u00e1c s\u1ed1 sau:<\/p>\n 01, 04, 07, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97<\/p>\n D\u00e0n \u0111\u1ec1 chia cho 3 d\u01b0 2 c\u0169ng gi\u1ed1ng v\u1edbi hai d\u00e0n \u0111\u1ec1 ph\u00eda tr\u00ean \u1edf ph\u01b0\u01a1ng ph\u00e1p nh\u1eadn bi\u1ebft.<\/p>\n D\u00e0n \u0111\u1ec1 chia 3 d\u01b0 2 c\u00f3 33 s\u1ed1 g\u1ed3m c\u00e1c s\u1ed1 sau:<\/p>\n 02, 05, 08, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 77, 80, 83, 86, 89, 92, 95, 98<\/p>\n Qua b\u00e0i vi\u1ebft n\u00e0y c\u00e1c b\u1ea1n ch\u1eafc ch\u1eafn \u0111\u00e3 n\u1eafm \u0111\u01b0\u1ee3c d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft nhanh c\u1ee7a d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3, d\u01b0 1, d\u01b0 2. Ch\u00fac c\u00e1c b\u1ea1n \u00e1p d\u1ee5ng th\u00e0nh c\u00f4ng nh\u1eefng ki\u1ebfn th\u1ee9c n\u00e0y v\u00e0o th\u1ef1c t\u1ebf. H\u1eb9n g\u1eb7p l\u1ea1i c\u00e1c b\u1ea1n \u1edf nh\u1eefng b\u00e0i vi\u1ebft ti\u1ebfp theo. \u0110\u1eebng qu\u00ean \u0111\u0103ng k\u00fd t\u00e0i kho\u1ea3n \u0111\u00e1nh l\u00f4 \u0111\u1ec1 online v\u1edbi t\u1ef7 l\u1ec7 \u0103n c\u1ef1c cao b\u1ea1n nh\u00e9.<\/p>\n<\/div>\nD\u00c0N \u0110\u1ec0 CHIA H\u1ebeT CHO 3<\/span><\/strong><\/h2>\n
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D\u00c0N \u0110\u1ec0 CHIA CHO 3 D\u01af 1<\/span><\/strong><\/h2>\n
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D\u00c0N \u0110\u1ec0 CHIA CHO 3 D\u01af 2<\/span><\/strong><\/h2>\n
\n\nD\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3, chia 3 d\u01b0 1, chia 3 d\u01b0 2 l\u00e0 g\u00ec, g\u1ed3m nh\u1eefng s\u1ed1 n\u00e0o?<\/h1>\n<\/header>\n