A seven-digit number 5702718 is divisible by 147. If we rearrange the digits of the number in descending order and subtract 4 more than three times of 17 from the new number which is formed, then the resultant number will be divisible by:
5
The correct answer is 5.
Repeat the process until a small number is obtained. If this number is 0 or divisible by 7, the original number is divisible by 7. Divisibility by 17: There are more complex rules, but for typical problems, direct division might be the most straightforward check if the number is not very large. In this problem, the divisibility rule for 5 was the easiest way to determine the answer for the resultant number 8775155.
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