%0 Journal Article %T If a prime divides a product %A Steven J. Miller %A Cesar E. Silva %J Mathematics %D 2010 %I arXiv %X One of the greatest difficulties encountered by all in their first proof intensive class is subtly assuming an unproven fact in a proof. The purpose of this note is to describe a specific instance where this can occur, namely in results related to unique factorization and the concept of the greatest common divisor. %U http://arxiv.org/abs/1012.5866v1