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Example

Let's find the factors of 8.

1 × 8 = 8

8 is theproductof 1 and 8.

So 1 and 8 arefactorsof 8.

2 × 4 = 8

8 is theproductof 2 and 4.

So 2 and 4 arefactorsof 8.1 is a factor of every number.

Every number is a factor of itself.

The factors of 8 are 1, 2, 4 and 8.

Example

Let's find the multiples of 8.

To find the multiple of 8, think of the times table of 8 as below.

8 × 1 = 8,8 × 2 = 16,8 × 3 = 24,8 × 4 = 32,8 × 5 = 40,8 × 6 = 48,

8 is a factor of all the multiples of 8.8, 16, 24, 32, 40 and 48 aremultiplesof 8.

List all the factors of 60.

60 = 1 × 60

60 = 2 × 30

60 = 3 × 20

60 = 4 × 15

60 = 5 × 12

60 = 6 × 10

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.

What are the common factors of 16 and 24? What is the greatest common factor of 16 and 24?

The factors of 16 are:1,2,4,8and 16.

The factors of 24 are:1,2, 3,4, 6,8, 12 and 24.

Thecommon factorsof 16 and 24 are 1, 2, 4 and 8.

Thegreatest common factor (GCF)of 16 and 24 is 8.

List the first five multiples of 6. What is the twelfth multiple of 6?

6 × 1 = 6,6 × 2 = 12,6 × 3 = 18,6 × 4 = 24,6 × 5 = 30,6 × 6 = 36,

Thefirst multipleof 6 is 6.

Thesecond multipleof 6 is 12.

Thethird multipleof 6 is 18.

Thefourth multipleof 6 is 24.

Thefifth multipleof 6 is 30.

Thesixth multipleof 6 is 36.

6 × 12 = 72

Thetwelfth multipleof 6 is 72.

Is 21 a multiple of 7?

21 can be divided exactly by 7.

21 is a multiple of 7.

7 is a factor of 21.

Is 25 a multiple of 7?

25 cannot be divided exactly by 7.

25 isnota multiple of 7.

7 is not a factor of 25.

Find the first six multiples of 2 and 5. What is a common multiple of 2 and 5?

The first six multiples of 2 are 2, 4, 6, 8,10and 12.

The first six multiples of 5 are 5,10, 15, 20, 25 and 30.

Acommon multipleof 2 and 5 is10.

I'm thinking of a one-digit number, N, which is greater than 1. N and 7 are the common factors of 14 and 28. What is the number I'm thinking of?

The factors of 14 are 1, 2, 7 and 14.

The factors of 28 are 1, 2, 4, 7, 14 and 28.

The common factors of 14 and 28 are 1, 2, 7 and 14.

The one-digit common factor of 14 and 28 other than 1 and 7 is 2.

N is2.