# Prove or disaprove that if a|bc, where a, b, and c are positive integers and a≠0a, then a|b or a|c.

Discrete math

Prove or disaprove that if a|bc, where a, b, and c are positive integers and $$\displaystyle{a}≠{0}{a}$$, then $$a|b$$ or $$a|c$$.

False! Take $$b=c=2$$ and $$a=4.$$