What Is a Factor of a Number

Question: What is a factor of a number?

A factor of a number in math is a number that divides the given number.

Answer: A factor is a number that divides the given number without any remainder.

Let us understand the factor of a number in detail.


A factor is nothing but a divisor of the given number. A factor is a number that divides another number evenly, that is with no remainder.

  • The number of factors of a number is finite.
  • A factor of a number is always less than or equal to the given number.
  • Every number except 0 and 1 has at least two factors, 1 and itself.
  • Division and multiplication are the operations that are used in finding the factors.

For example, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of a number can be calculated by prime factorization and factor tree method, etc.

Thus, we have seen factors of a number and their properties.