從五個數字1 4 5 6 7中選擇四個數字組成1除以3的數。這些數字是什麽?
如果壹個數的每壹位的位數之和能被3整除,那麽這個數就能被3整除,如果每壹位的位數之和能被3整除,那麽這個數被3整除,也是被1整除。從14567中選四個數,最小和為16,最大和為22。在16和22之間,有16,19,22可以被3整除。從14567中選擇四個數字,使它們的和等於16,19,22。這四個數組成的四位數就是要求:(1,4,5,6) 1456,1465,1546,1564,1645,1654。4615,4651,5146,5164,5416,5461,5614,5641,6145,6154,6415,6451,6514, 6541(1,5,6,7)1567,1576,1657,1675,1756,1765,5167,5176,5617,5671,5716, 5761,6157,6175,6517,6571,6715,6751,7156,7165,7516,7561,7615,7651(4,5,6, 7)4567,4576,4657,4675,4756,4765,5467,5476,5647,5674,5746,5764,6457,6475,6547,6574,6745,6754,7456,7465,7546,7564,7645,7654