## Factors and Multiples

#### 1. Find the factors of 8.

1 × 8 = 8

8 is the

So 1 and 8 are

2 × 4 = 8

8 is the

So, 2 and 4 are

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

8 is the

**product**of 1 and 8.So 1 and 8 are

**factors**of 8.2 × 4 = 8

8 is the

**product**of 2 and 4.So, 2 and 4 are

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

1 is a factor of every number.

Every number is a factor of itself.

Every number is a factor of itself.

#### 2. 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, 16, 24, 32, 40 and 48 are

8 × 1 = 8, 8 × 2 = 16, 8 × 3 = 24,

8 × 4 = 32, 8 × 5 = 40, 8 × 6 = 48,

8, 16, 24, 32, 40 and 48 are

**multiples**of 8.
8 is a factor of all the multiples of 8.

#### 3. 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.

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.

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

The factors of 16 are:

The factors of 24 are:

The

The

**1**,**2**,**4**,**8**and 16.The factors of 24 are:

**1**,**2**, 3,**4**, 6,**8**, 12 and 24.The

**common factors**of 16 and 24 are 1, 2, 4 and 8.The

**greatest common factor (GCF)**of 16 and 24 is 8.#### 5. List the first six multiples of 6. What is the twelfth multiple of 6?

6 × 1 =

6 × 4 =

The

The

The

The

The

The

The

**6**, 6 × 2 =**12**, 6 × 3 =**18**,6 × 4 =

**24**, 6 × 5 =**30**, 6 × 6 =**36**,The

**first multiple**of 6 is 6.The

**second multiple**of 6 is 12.The

**third multiple**of 6 is 18.The

**fourth multiple**of 6 is 24.The

**fifth multiple**of 6 is 30.The

**sixth multiple**of 6 is 36.The

**twelfth multiple**of 6 is 6 ×**12**or**72**.#### 7. 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.

21 is a multiple of 7.

7 is a factor of 21.

#### 8. Is 25 a multiple of 7?

25 cannot be divided exactly by 7.

25 is

7 is not a factor of 25.

25 is

**not**a multiple of 7.7 is not a factor of 25.

#### 9. 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,

The first six multiples of 5 are 5,

A

**10**and 12.The first six multiples of 5 are 5,

**10**, 15, 20, 25 and 30.A

**common multiple**of 2 and 5 is**10**.#### 10. 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 is

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 is

**2**.