Solution to Determine if 1781 is divisible by 3, 6, 7, 8, and 9 - Sikademy
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Determine if 1781 is divisible by 3, 6, 7, 8, and 9

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Let us determine if 1781 is divisible by 3, 6, 7, 8, and 9.


Since the last digit 1 is odd, we conclude that 1781 is not divisible by 2, and hence 1781 is not divisible by 6=2\cdot 3 and 1781 is not divisible by 8=2\cdot 4.


Since the sum 1+7+8+1=17 of digits is not divisible by 3 (and hence by 9), we conclude that 1781 is not divisible by 3 and 1781 is not divisible by 9.


Taking into account that 178-2\cdot 1=17617-2\cdot 6=5, and 5 is not divisible by 7, we conclude that 1781 is not divisible by 7.

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Question ID: mtid-5-stid-8-sqid-2956-qpid-1655