Does Anything Divide 0?

Number Theory Level 1

What are the integral divisors of 0?

Clarification: Given two integers $N$ and $M,$ $N$ is an "integral divisor" of $M$ if $F = \frac{M}{N}$ is an integer.

0 is only divisible by itself 0 is only divisible by 1 0 is divisible by all integers besides 0 0 is divisible by all integers 0 is not divisible by any number

3 solutions

Kitniti Witchayapaisitsakul
Feb 12, 2016

0 can be divided by any number except 0/0 which is undefined.

I agree with this definition: "an integer m can divided by an integer n if there is an integer k for which m=nk". If you set m=0, for all integers n it is possible find an integer k for which 0=nk (i.e. k=0), even when n=0. According to this definition, 0 is divisible by all integers.

Daniele Grandini - 5 years, 4 months ago

is correct

Wahid Azeem - 5 years, 4 months ago

Odin Wang
Aug 13, 2020

$\frac{0}{0}$ is the only thing that is undefined that 0 is divided by

Whitney Clark
Feb 13, 2016

Zero is a multiple of everything. It is not divisible by zero because you cannot divide by zero.

that's isn't the best reply I've ever seen

remy xiao - 1 year, 3 months ago

Does Anything Divide 0?

3 solutions

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