Without performing the actual division, determine whether 11298969 (base ten) is divisible by 2013 (base ten).
You can easily check that both are divisible by both 3 and 11. Dividing 2013 by 33 gives 61.
Unfortunately I don't know an easy way to test divisibility by 61.
Is it cheating to do just this division? 11298969/61 = 185229
So yes.
An more straightforward wary would be to just look at the prime factorization of each I suppose:
11298969 = 3^2 * 11 * 61 * 1871
2013 = 3 * 11 * 61
which also shows it is divisible.

Posted by Jer
on 20111129 13:55:03 