Jorge's subset products

Let \(S=\{1,2,3,4,\ldots, 2013\}\) and let \(n\) be the smallest positive integer such that the product of any \(n\) distinct elements in \(S \) is divisible by \(2013\). What are the last \(3\) digits of \(n\)?

This problem is posed by Jorge T.

×

Problem Loading...

Note Loading...

Set Loading...