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Modify one digit in the number 31743 can make it a multiple of 281.  What is the number after the change?

 May 30, 2021
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if you were to just divide, you get 31743 / 281, which is approximately 112.96, which is very close to an integer. This suggests that if you increase 31743 by a few digits it will divide 281. Sure enough, when you increase it by 10, you get 31753, which is divisible by 281

 May 31, 2021

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