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Math Help - divisor of 0

  1. #1
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    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?
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  2. #2
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    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.
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