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