How many factors does zero have?

Answer 1

Zero has an infinite number of factors. This is because any number multiplied by zero equals zero, so all integers are factors of zero. In other words, zero is divisible by any non-zero integer, making its list of factors endless.

Answer 2

Zero has an infinite number of factors.

Explanation

Think of a factor as a number that divides another number exactly, that is to say with no remainder. So 2 is a factor of 6 because 6 divided by 2 is 3 exactly. Take an integer n, and we way m is a factor of n if and only if m multiplied by some other integer k equals n. We call k and m a factor pair. For example, 4X1 and 2X2 are the factor pairs of 4. Now consider 0 and observe that any m can be multiplied by 0 to get 0 so there is an infinite number of factors. Every real number can be part of a factor pair with 0. So there are infinite factors and infinite factor pairs.