What are the divisors of 0?

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What are the divisors of 0?

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Answer 1 · 2018-03-11T13:00:26

All non-zero numbers are divisors of $0$ . $0$ may also be counted as divisor, depending on whose definition of divisor you use.

Explanation:

This answer assumes the following definition of divisor:

For integers $m, n$ we say that $m$ is a divisor of $n$ and write $m | n$ if and only if there is some integer $k$ such that $km = n$ .

If $n$ is any number then $n xx 0 = 0$ .

So $n$ is a divisor of $0$ .

Note that there are several different definitions of divisor in use. Some specify that $m | n$ if and only if $n/m$ is an integer - i.e. has no remainder. Under that definition $0$ would not be counted as a divisor of $0$ , since $0/0$ is undefined.

Answer 2 · 2018-03-11T13:01:20

Any and every number can be divided into $0$ EXCEPT $0$

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What are the divisors of 0?

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