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Worksheets

Mastering Factors and Multiples

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

What are the prime factors of 60?

a)

2, 3, 5

b)

3, 15, 20

c)

1, 2, 30

d)

4, 6, 10

2.

Calculate the product of the HCF and LCM of 12 and 15

a)

180

b)

60

c)

3

d)

75

3.

Find the HCF of 24 and 36.

a)

12

b)

24

c)

6

d)

18

4.

List all factors of 45.

a)

[1, 3, 5, 9, 15, 45

b)

11, 13, 17, 19, 23, 29, 45

c)

1, 3, 4, 5, 9, 15, 45

d)

2, 4, 6, 8, 10, 12, 45

5.

Express 84 as a product of its prime factors in index form

a)

3 × 4 × 7

b)

2^3 × 5 × 3

c)

2 × 2 × 3 × 14

d)

2^2 × 3 × 7

6.

What are the prime factors of 100?

a)

3, 10

b)

2, 5

c)

1, 2, 4, 5, 10, 20, 25, 50, 100

d)

4, 25

7.

Divide the LCM of 8 and 14 by its HCF

a)

42

b)

28

c)

56

d)

70

8.

Find the HCF of 18 and 27.

a)

12

b)

9

c)

6

d)

18

9.

List all factors of 30.

a)

1, 2, 3, 4, 5, 6, 8, 10, 15, 30

b)

5, 6, 7, 8, 9, 10, 11, 12, 15, 30

c)

1, 2, 3, 4, 5, 6, 7, 8, 15, 30

d)

1, 2, 3, 5, 6, 10, 15, 30

10.

Express 56 as a product of its prime factors.

a)

2 x 2 x 3 x 7

b)

2 x 3 x 3 x 7

c)

2 x 3 x 5 x 7

d)

2 x 2 x 2 x 7

11.

What are the prime factors of 72?

a)

2, 3, 5

b)

1, 8

c)

9, 12

d)

2, 3

12.

Calculate the LCM of 9 and 12.

a)

24

b)

18

c)

36

d)

30

13.

Find the HCF of 40 and 60.

a)

10

b)

30

c)

20

d)

50

14.

List all factors of 50.

a)

[1, 4, 8, 16, 32, 50]

b)

[1, 2, 5, 10, 25, 50]

c)

[2, 3, 5, 15, 25, 50]

d)

[1, 5, 10, 20, 50]

15.

Express 90 as a product of its prime factors.

a)

2 × 3 x 3 x 5

b)

2 x 3 x 5 x 5

c)

3 × 3 x 5 x 5

d)

2 × 3 × 15

16.

What are the prime factors of 36?

a)

1, 6

b)

2, 3

c)

4, 9

d)

2, 18

17.

What is the square of the LCM of 5 and 10.

a)

20

b)

10

c)

100

d)

15

18.

How many factors has a prime number?

a)

3

b)

2

c)

1

d)

5

19.

List all factors of 12.

a)

2, 3, 5, 7, 11, 12

b)

1, 2, 3, 4, 6, 12

c)

1, 2, 3, 4, 5, 6, 12

d)

1, 2, 3, 4, 6, 8, 12

20.

Express 45 as a product of its prime factors.

a)

1 × 3 x 5

b)

2 × 22.5

c)

3 × 3 × 5

d)

2 x 3 x 3 x 5

21.

Which of the following is a factor pair of 2424 ?

a)

(2,10)(2, 10)

b)

(3,8)(3, 8)

c)

(4,5)(4, 5)

d)

(6,5)(6, 5)

22.

Which of the following numbers is a prime number?

a)

21

b)

29

c)

30

d)

42

23.

Which list shows the first five multiples of 4:

a)

4, 8, 12, 16, 20

b)

1, 4, 8, 12, 16

c)

1, 2, 4, 8, 9

d)

4, 6, 8, 10, 12

24.

Which is not a factor of 24?

a)

2

b)

3

c)

4

d)

5

25.

What is the addition of the LCM and HCF of 12 and 15.

a)

63

b)

60

c)

45

d)

75