Is 0 divisble by every Integer
Last Updated :
09 Apr, 2025
Improve
Yes, 0 is considered to be divisible by every integer other than 0. Dividing by zero itself is undefined, so 0 is not divisible by 0.
Why?
Let a,b be integers. Then b is divisible by a if and only if there exists an integer k such that b = ka. If we go by this definition, we can find a k for every integer.
Here is a logical way o look at it.
Zero is considered divisible by every integer because division can be thought of as dividing something into equal parts. When dividing 0 by any non-zero integer, the result is always 0, as 0 divided into 0 part by any number other than 0.
One more important thing to not about 0 is, 0 is neither a prime nor composite number.
