# Factors and Multiples

Factors and Multiples – Definition

Factors – The factors of a numbers are those numbers by which that number is completely divisible, with a remainder of 0.

Multiple – A multiple is the product of two or more factors.

### Examples of Factors and Multiples

Example 1

Determine whether 4 is the factor of 32 ?

Explanation

The factors of a numbers are those numbers by which that number is completely divisible, with a remainder of 0
When we divide 32 by 4
i.e, 32 ÷ 4
We get,
Quotient = 8
Remainder = 0
Here we will see that the remainder is 0 because 32 is exactly divisible by 4
Hence, we can say that 4 is the factor of 32 .

Example 2

Determine whether 32 is the multiple of 6 ?

Explanation

If 32 is the multiple of 6 , then the remainder is 0
when 32 is divided by 6 remainder should be equal to 0.
When we divide 32 by 6
i.e, 32 ÷ 6
Quotient = 5
Remainder = 2
Here we will see that the remainder is 2
Hence, we can say that 32 is not the multiple of 6

Example 3

Determine whether 6 is the factor of 40 ?

Explanation

The factors of a numbers are those numbers by which that number is completely divisible, with a remainder of 0
When we divide 40 by 6
i.e, 40 ÷ 6
We get,
Quotient = 6
Remainder = 4
Here we will see that the remainder is 4 because 40 is not exactly divisible by 6
Hence, we can say that 6 is not the factor of 40 .

Example 4

Determine whether 36 is the multiple of 6 ?

Explanation

If 36 is the multiple of 6 , then the remainder is 0
when 36 is divided by 6 remainder should be equal to 0.
When we divide 36 by 6
i.e, 36 ÷ 6
Quotient = 6
Remainder = 0
Here we will see that the remainder is 0
Hence, we can say that 36 is the multiple of 6