1. The problem statement, all variables and given/known data give an example to show that a factor ring of a ring with divisors of 0 may be an integral domain. 2. Relevant equations since we know that ZxZ is a zero divisor and 5Z is an integral domain. 3. The attempt at a solution So, ZxZ/5Z =~(isomorphic to) Z/5Z=~ Z_5.