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FACTORS, MULTIPLES AND PRIMES, HCF & LCM

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.

Which number has a factor of 16?

a)

258

b)

112

c)

596

d)

452

2.

Which number has 215 as one of its multiples?

a)

40

b)

15

c)

43

d)

25

3.

The Lowest Common Multiple (LCM) of 24 and 60 is:

a)

90

b)

120

c)

30

d)

10

4.

The Highest Common Factor (HCF) of 48 and 64 is:

a)

14

b)

8

c)

4

d)

16

5.

Which number has a prime factor of 13?

a)

78

b)

87

c)

93

d)

43

6.

Express 60 as a product of its prime factors.

a)

4 × 154\ \times\ 15

b)

23 × 322^3\ \times\ 3^2

c)

9 × 16 × 25\sqrt{9}\ \times\ \sqrt{16}\ \times\ \sqrt{25}

d)

22 × 3 × 52^2\ \times\ 3\ \times\ 5

e)

3600123600^{\frac{1}{2}}

7.

Express 150 as a product of its prime factors.

a)

6 × 256\ \times\ 25

b)

2 × 3 × 522\ \times\ 3\ \times\ 5^2

c)

52 × 75^2\ \times\ 7

d)

22 × 32 × 52^2\ \times\ 3^2\ \times\ 5

e)

225001222500^{\frac{1}{2}}

8.

Find the Highest Common Factor (HCF) of 60 and 150.

a)

15

b)

6

c)

10

d)

60

e)

30

9.

Find the Lowest Common Multiple (LCM) of 60 and 150.

a)

150

b)

900

c)

1000

d)

600

e)

300

10.

Express 72 as a product of its prime factors.

a)

272^7

b)

33 × 223^{3\ }\ \times\ 2^2

c)

23 × 322^{3\ }\times\ 3^2

d)

22 ×32 × 52^2\ \times3^2\ \times\ 5

e)

22 × 3 × 72^2\ \times\ 3\ \times\ 7

11.

Find the Highest Common Factor (HCF) of 72 and 120.

a)

6

b)

12

c)

16

d)

24

e)

36

12.

Find the Lowest Common Multiple (LCM) of 72 and 120.

a)

360

b)

720

c)

940

d)

960

e)

1080