{"id":18005,"date":"2024-03-14T17:12:17","date_gmt":"2024-03-14T17:12:17","guid":{"rendered":"https:\/\/soicau1119.minhngocxoso.com\/?p=18005"},"modified":"2024-03-14T17:12:17","modified_gmt":"2024-03-14T17:12:17","slug":"tim-hieu-ve-dan-de-khong-chia-het-cho-3","status":"publish","type":"post","link":"https:\/\/kenhcaude.com\/tim-hieu-ve-dan-de-khong-chia-het-cho-3\/","title":{"rendered":"T\u00ecm hi\u1ec3u v\u1ec1 d\u00e0n \u0111\u1ec1 kh\u00f4ng chia h\u1ebft cho 3"},"content":{"rendered":"
Ph\u00e9p t\u00ednh chia cho 3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng trong l\u00f4 \u0111\u1ec1 v\u1edbi m\u1ee5c \u0111\u00edch t\u00ecm ki\u1ebfm con s\u1ed1 may m\u1eafn kh\u00f4ng ph\u1ea3i l\u00e0 s\u1ef1 ng\u1eabu nhi\u00ean. Vi\u1ec7c k\u1ebft n\u1ed1i v\u1edbi nh\u1eefng h\u1ed9i nh\u00f3m l\u00f4 \u0111\u1ec1 online ng\u01b0\u1eddi ch\u01a1i c\u00f3 th\u1ec3 bi\u1ebft \u0111\u01b0\u1ee3c \u0111\u00e2u l\u00e0 nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p soi c\u1ea7u chu\u1ea9n x\u00e1c.<\/p>\n
V\u1edbi \u0111\u1eb7c t\u00ednh c\u1ee7a nh\u1eefng con s\u1ed1 chia h\u1ebft v\u00e0 kh\u00f4ng chia h\u1ebft cho 3 c\u0169ng l\u00e0 m\u1ed9t trong nh\u1eefng d\u1ea5u hi\u1ec7u gi\u00fap ng\u01b0\u1eddi ch\u01a1i ph\u00e2n t\u00edch t\u1eeb \u0111\u00f3 ra con s\u1ed1 may m\u1eafn. Khi \u0111\u00e3 \u0111\u01b0\u1ee3c c\u00e1c ng\u01b0\u1eddi ch\u01a1i truy\u1ec1n tay nhau \u00e1p d\u1ee5ng ph\u1ed5 bi\u1ebfn th\u00ec ch\u1eafc ch\u1eafn vi\u1ec7c b\u1eaft \u0111\u1ec1 v\u1edbi ph\u00e9p chia 3 c\u0169ng c\u00f3 nhi\u1ec1u k\u1ebft qu\u1ea3 t\u00edch c\u1ef1c.<\/p>\n
Ng\u01b0\u1ee3c l\u1ea1i v\u1edbi d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3, d\u00e0n \u0111\u1ec1 n\u00e0y s\u1ebd bao g\u1ed3m nh\u1eefng con s\u1ed1 c\u00f3 gi\u00e1 tr\u1ecb kh\u00f4ng chia h\u1ebft cho 3. \u0110\u00f3 ch\u00ednh l\u00e0 d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3 d\u01b0 1 v\u00e0 d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3 d\u01b0 2 m\u00e0 ch\u00fang t\u00f4i \u0111\u00e3 gi\u1edbi thi\u1ec7u tr\u00ean.<\/p>\n
Trong t\u1ea5t c\u1ea3 100 con s\u1ed1 t\u1eeb 00 – 99, c\u00f3 32 gi\u00e1 tr\u1ecb s\u1ebd chia h\u1ebft cho 3 \u0111\u01b0\u1ee3c ch\u1ecdn l\u00e0 d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3. C\u00f2n l\u1ea1i th\u00ec t\u1ea5t c\u1ea3 \u0111\u1ec1u kh\u00f4ng chia h\u1ebft cho 3, t\u1ee9c l\u00e0 s\u1ebd c\u00f3 t\u1ed5ng c\u1ed9ng 68 con \u0111\u1ec1 trong d\u00e0n \u0111\u1ec1 n\u00e0y.<\/p>\n
00, 01, 02, 04, 07, 10, 13, 16, 19, 22, 25, 28, 31, 34, 36, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 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
Vi\u1ec7c \u00e1p d\u1ee5ng d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3 \u0111\u1ec3 t\u00ecm ki\u1ebfm k\u1ebft qu\u1ea3 c\u0169ng c\u00f3 nhi\u1ec1u c\u00e1ch th\u1ee9c ng\u01b0\u1eddi ch\u01a1i c\u00f3 th\u1ec3 l\u1ef1a ch\u1ecdn. D\u01b0\u1edbi \u0111\u00e2y l\u00e0 nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p ti\u00eau bi\u1ec3u \u0111\u01b0\u1ee3c cho l\u00e0 hi\u1ec7u qu\u1ea3 v\u00e0 c\u0169ng \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng ph\u1ed5 bi\u1ebfn hi\u1ec7n nay.<\/p>\n
C\u00f3 t\u1ed5ng c\u1ed9ng 32 con \u0111\u1ec1 m\u00e0 c\u00e1c b\u1ea1n ph\u1ea3i l\u1ef1a ch\u1ecdn v\u1edbi ph\u01b0\u01a1ng ph\u00e1p n\u00e0y. \u0110\u1ea7u ti\u00ean l\u00e0 nh\u1eadn bi\u1ebft d\u1ea5u hi\u1ec7u v\u1ec1 c\u1ee7a nh\u1eefng con \u0111\u1ec1 tr\u01b0\u1edbc \u0111\u00f3. Ph\u01b0\u01a1ng th\u1ee9c ph\u00e2n t\u00edch v\u00e0 ch\u1ed1t k\u1ebft qu\u1ea3 n\u00e0y s\u1ebd \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n theo c\u00e1c b\u01b0\u1edbc nh\u01b0 sau:<\/p>\n
\u0110\u1ea7u ti\u00ean h\u00e3y xem qua k\u1ebft qu\u1ea3 c\u1ee7a gi\u1ea3i \u0111\u1eb7c bi\u1ec7t \u0111\u01b0\u1ee3c c\u00f4ng b\u1ed1 qua 3 k\u1ef3 m\u1edf th\u01b0\u1edfng g\u1ea7n nh\u1ea5t. Qua \u0111\u00f3 xem \u0111\u1ec1 ch\u1eb5n hay \u0111\u1ec1 l\u1ebb xu\u1ea5t hi\u1ec7n nhi\u1ec1u h\u01a1n v\u00e0 ti\u1ebfp t\u1ee5c \u00e1p d\u1ee5ng c\u00e1ch t\u00ednh sau.<\/p>\n
N\u1ebfu \u0111\u1ec1 l\u00e0 c\u1eb7p s\u1ed1 c\u00f3 gi\u00e1 tr\u1ecb ch\u1eb5n, h\u00e3y ch\u1ecdn d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3 v\u1edbi kho\u1ea3ng c\u00e1ch l\u1ea7n l\u01b0\u1ee3t gi\u1eefa c\u00e1c con \u0111\u1ec1 l\u00e0 6 (S\u1ed1 ch\u1eb5n). K\u1ebft qu\u1ea3 trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y s\u1ebd l\u00e0 d\u00e0n \u0111\u1ec1:<\/p>\n
<\/p>\n
09, 15, 21, 27, 33, 39, 45, 51, 57, 63, 69, 76, 82, 88, 94.<\/p>\n
Ng\u01b0\u1ee3c l\u1ea1i n\u1ebfu \u0111\u1ec1 l\u1ebb v\u1ec1 nhi\u1ec1u h\u01a1n trong 3 phi\u00ean n\u00e0y, h\u00e3y ch\u1ecdn c\u00e1c con \u0111\u1ec1 c\u00f3 kho\u1ea3ng c\u00e1ch l\u1ea7n l\u01b0\u1ee3t l\u00e0 9 \u0111\u01a1n v\u1ecb.<\/p>\n
12, 21, 30, 39, 48, 57, 66, 75, 84, 93.<\/p>\n
C\u00e1ch n\u00e0y t\u01b0\u01a1ng t\u1ef1 nh\u01b0 c\u00e1ch b\u1eaft d\u00e0n \u0111\u1ec1 t\u1ed5ng t\u1eeb t\u1ed5ng \u0111\u1ec1 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng ph\u1ed5 bi\u1ebfn. Nh\u01b0ng n\u00f3 ch\u1ec9 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong tr\u01b0\u1eddng h\u1ee3p l\u00e0 t\u1ed5ng \u0111\u1ec1 k\u1ef3 \u0111\u00f3 l\u00e0 con s\u1ed1 c\u00f3 gi\u00e1 tr\u1ecb chia h\u1ebft cho 3.<\/p>\n
B\u01b0\u1edbc \u0111\u1ea7u th\u1ef1c hi\u1ec7n l\u00e0 h\u00e3y c\u1ed9ng gi\u00e1 tr\u1ecb c\u1ee7a c\u00e1c con s\u1ed1 trong gi\u1ea3i \u0111\u1eb7c bi\u1ec7t l\u01b0\u1ee3t g\u1ea7n nh\u1ea5t. N\u1ebfu k\u1ebft qu\u1ea3 l\u00e0 con s\u1ed1 chia h\u1ebft cho 3 th\u00ec ti\u1ebfp t\u1ee5c th\u1ef1c hi\u1ec7n c\u00e1ch t\u00ednh nh\u01b0 sau.<\/p>\n
V\u00ed d\u1ee5: Gi\u1ea3i \u0111\u1eb7c bi\u1ec7t l\u00e0 24513, t\u1ed5ng s\u1ebd l\u00e0 15 l\u00e0 con s\u1ed1 chia h\u1ebft cho 3. T\u1eeb \u0111\u00e2y d\u00e0n \u0111\u1ec1 \u0111\u01b0\u1ee3c b\u1eaft ra s\u1ebd bao g\u1ed3m: 06 – 60 – 15 – 51 – 24 – 42 – 33.<\/p>\n
C\u00e1ch n\u00e0y c\u00e1c b\u1ea1n c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng cho b\u1ea5t k\u1ef3 \u0111\u00e0i n\u00e0o v\u1edbi quy tr\u00ecnh th\u1ef1c hi\u1ec7n r\u1ea5t \u0111\u01a1n gi\u1ea3n. \u0110\u1ed1i v\u1edbi c\u00e1c \u0111\u00e0i XSMT, XSMN, h\u00e3y nh\u00ecn l\u1ea1i k\u1ebft qu\u1ea3 gi\u1ea3i 8 l\u01b0\u1ee3t g\u1ea7n nh\u1ea5t, \u1edf XSMB th\u00ec h\u00e3y ch\u00fa \u00fd \u0111\u1ec1 \u0111\u1eb7c bi\u1ec7t l\u00e0 s\u1ed1 ch\u1eb5n hay s\u1ed1 l\u1ebb.<\/p>\n
H\u00e3y ch\u1ecdn d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3 v\u1edbi t\u00ednh ch\u1ea5t ng\u01b0\u1ee3c l\u1ea1i, n\u1ebfu \u0111\u1ec1 v\u1ec1 ch\u1eb5n k\u1ef3 tr\u01b0\u1edbc, k\u1ef3 n\u00e0y s\u1ebd ch\u1ecdn t\u1ea5t c\u1ea3 d\u00e0n \u0111\u1ec1 chia h\u1ebft cho 3 l\u00e0 nh\u1eefng con s\u1ed1 l\u1ebb.<\/p>\n
D\u00e0n \u0111\u1ec1 \u0111\u01b0\u1ee3c b\u1eaft trong tr\u01b0\u1eddng h\u1ee3p n\u00e0y bao g\u1ed3m: 03 – 09 – 15 – 21 – 27 – 33 – 39 – 45 – 51 – 57 – 63 – 69 – 75 – 81 – 87 – 93 – 99.<\/p>\n