# Math Help - divisor of 0

1. ## divisor of 0

find all the divisors of 0 in the ring Z6 of integers of modulo 6.

in this system 2x3=0. so divisors of zero are 2 and 3. Again 4x3=0. So 4 is also a divisor of 0. ......
Is my approach right?

2. ## Re: divisor of 0

Yes, the "zero divisors" in $Z_6$ are 2, 3, and 4. More generally, the zero divisors of $Z_n$ are the prime divisors of n and their multiples.