# Homework Help: Even/odd case proof

1. Apr 12, 2013

### John112

$\forall$ a,b,c $\in$ $Z$ a|bc $\Rightarrow$ a|b or a|c

To prove this do I only need to show that 'a' can be either even or odd?

2. Apr 12, 2013

### Dick

You can't prove it because it isn't true. Find a counterexample.