**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