Are there integers $a,b,c$ such that $a$ divides $bc$, but $a$ does not divide $b$ and $a$ does not divide $c$? 
Are there integers $a,b,c$ such that $a$ divides $bc$, but $a$ does not divide $b$ and $a$ does not divide $c$?

I am not quite sure what to do with the given information. I know I could easily find an example.
We know that $a$ divides $bc$ so,
$$bc=aq \text{ for some integer } q.$$
And that $a$ does not divide $b$ or $c$ so,
 how is that represented? 
What would be my first step?  

The general result on this question is this generalisation of Euclid's lemma:

Gauß's lemma:  If a number divides a product of two factors, a,d is coprime with one of them, it divides the other.

