Question

prove that 13,398 is divisible by 33 without actually division

Answer 1

13398 sum of all digit=24 divisible by 3, so the given number divisible by 3
and 13398 sum of odd place digit 12, and sum of even place digit 12, different 12-12=0, so the given number divisible by 11
hence 13398 is divisible by 3 and 11, so we can say that the given number divisible by 33