## Problem of the Day #315: Divisibility into $99 \ldots 99900 \ldots 000$
*January 28, 2012*

*Posted by Albert in : potd , trackback*

*Thanks to my dad for this problem.*

Prove (or find a counterexample) that given a positive integer $n$, $\exists \quad i,j: \quad n \mid (10^i – 1)(10^j)$.

## Comments»

no comments yet - be the first?