example of a commutative ring without zero divisor that is not an integral domain

I'm not sure if I understand this question.

An integral domain is a commutative ring (with unity) without zero-divisors. The question ask for an integral domain that is not an integral domain?

Can someone shed some understanding?

• maybe they mean without $1$? – peter a g May 11 '16 at 11:12
Essentially, you want a commutative ring without zero-divisors and without unity. So take $2\Bbb Z$ for instance