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Worksheets

Factors, Multiples and Primes

Total questions: 79

Worksheet time: 3hrs 51mins

Name
Class
Date
1.

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

a)

14

b)

8

c)

4

d)

16

2.

11 is a prime number...

a)

True

b)

False

3.

The factors of 15 are...

a)

1, 3, 5

b)

0, 5, 3

c)

1, 15

d)

1, 3, 5, 15

4.

The lowest common multiple of 5 and 6 is...

a)

10

b)

12

c)

30

d)

50

5.

What is the only multiple of 11 between 30 and 40?

a)

31

b)

32

c)

33

d)

34

6.

What is 60 as a product of prime factors.

a)

2 + 2 + 3 + 5

b)

22 * 3 * 5

c)

2 * 2 * 3 * 5

d)

3 * 20

7.

What is the HCF of 32 and 40?

a)

8

b)

80

c)

2

d)

16

8.

Which number is a multiple of 18?

a)

2

b)

9

c)

36

d)

24

9.

Which number is a factor of 12?

a)

2

b)

9

c)

8

d)

24

10.

All the factors of 36 are ...

a)

1, 36

b)

2, 3

c)

2, 3, 4, 6, 9, 12, 18

d)

1, 2, 3, 4, 6, 9, 12, 18

11.

9 is Prime number

a)

False

b)

True

12.

First, three multiples of 6 are .......

a)

6, 12, 24

b)

1, 6, 12

c)

6, 12, 18

d)

6, 18, 12

13.

For any given number, which one of the following is most correct?

a)

1 is always a factor

b)

1 and the given number is always a factor

c)

1 and the given number is always a multiple

d)

None of the above

14.

Which is not a factor of 24?

a)

2

b)

3

c)

4

d)

5

15.

Which is a factor of 32?

a)

3

b)

4

c)

5

d)

6

16.

Which is a factor of 95?

a)

2

b)

3

c)

4

d)

5

17.

Which is a multiple of 4

a)

22

b)

24

c)

34

d)

46

18.

Which is not a multiple of 3?

a)

18

b)

22

c)

27

d)

33

19.

Which which is not a multiple of 6?

a)

18

b)

36

c)

46

d)

96

20.

Which is a prime number?

a)

7

b)

12

c)

27

d)

36

21.

Which is not a prime number?

a)

5

b)

7

c)

9

d)

11

22.

Which is a prime number?

a)

15

b)

19

c)

21

d)

27

23.

Which is a prime factor of 60?

a)

2

b)

4

c)

6

d)

8

24.
A prime number has  how many factors? 
a)
More than 2
b)
Can be any amount depending on the number
c)
Exactly 2
d)
Only 1
25.

Find the Lowest Common Multiple (LCM) of 4 & 14.

a)

14

b)

20

c)

28

d)

42

26.

What is the Lowest Common Multiple (LCM) for the numbers

8 and 6?

a)

16

b)

12

c)

24

d)

14

27.
Which number is NOT a multiple of 2?
a)
74
b)
75
c)
76
d)
78
28.
Which number is a multiple of 5?
a)
73
b)
74
c)
75
d)
76
29.
Which number is a multiple of 3?
a)
27
b)
28
c)
29
d)
26
30.

Which number is a factor of 12?

a)

2

b)

9

c)

8

d)

24

31.

Which number is a factor of 18, but not a multiple of 2?

a)

36

b)

9

c)

8

d)

24

32.

What is the HCF of 32 and 40?

a)

8

b)

80

c)

2

d)

16

33.

What is 60 as a product of prime factors.

a)

2 + 2 + 3 + 5

b)

22 * 3 * 5

c)

2 * 2 * 3 * 5

d)

3 * 20

34.

Pick the square number.

a)

8

b)

25

c)

32

d)

27

35.

What is 25 as the sum of two prime numbers?

a)

22 + 3

b)

20 + 5

c)

23 + 2

d)

13 + 12

36.

Which number below is a cubed number?

a)

8

b)

16

c)

36

d)

144

37.

Factors of 18 are 1, 2, 3, 6, 9, 18.

Prime factors of 18 are.....

a)

1, 2, and 3

b)

2, 3, and 6

c)

3, 9, and 18

38.
Find the prime factorization of 40
a)
2 x 5 x 2
b)
2 x 20
c)
5 x 8
d)
2 x 2 x 2 x 5
39.
What is the prime factorization of 15?
a)
3x3x3
b)
2x2x5
c)
15
d)
3x5
40.
Which one lists ALL of the factors of 18?
a)
1, 2, 9, 18
b)
1, 18
c)
1, 2, 3, 6, 9, 18
d)
2, 3, 6, 9
41.

Write 36 as the product of it's prime factors...

a)

2 x 2 x 3 x 3

b)

2 x 2 x 2 x 3

c)

22 x 32

d)

22 x 3

42.
Which choice lists all the factors for the number 24?
a)
2, 3, 4, 6, 8, 12, 24
b)
2, 3, 4, 6, 8, 12, 24, 36
c)
1, 2, 3, 4, 6, 8, 12, 24
d)
1, 2, 4, 5, 6, 8, 12 ,24
43.
What are the factors of 14?
a)
1,14
b)
1, 2, 7, 14
c)
2, 7
d)
1, 14
44.
What are the factors of 35?
a)
1,35
b)
5,7
c)
1,3,5,7,35
d)
1,5,7,35
45.
What are the factors of 28?
a)
1,2,4,7,14,27
b)
1,2,4,7,14,28
c)
1,2,4,7,14,29
d)
1,2,4,7,14,26
46.
Is 8 a factor of 32?
a)
Yes
b)
No
47.
Which number is a factor of 45?
a)
4
b)
2
c)
9
48.

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

Prime factors of 24 are .....

a)

6 and 8

b)

2 and 3

c)

12 and 24

d)

1, 2 and 3

49.

Write 16 as the product of it's prime factors...

a)

2 x 2 x 2 x 2

b)

2 x 2 x 2

c)

23

d)

24

50.
Find the prime factorization of 40
a)
2 x 5 x 2
b)
2 x 20
c)
5 x 8
d)
2 x 2 x 2 x 5
51.

Find the prime factorization of 14. Then write it on the blank.

(a)  

52.

What are the prime factors of 27?

a)

3x3x3

b)

3x2x3

c)

3x3x4

53.

Find the prime factors of 45.

a)

5x9

b)

3x15

c)

3x3x5

54.

What are the prime factors of 90?

a)

3x3x4x5

b)

5x5x3

c)

2x3x3x5

55.

Find the prime factorization of 56.

a)

2x2x2x7

b)

2x28

c)

3x3x7

56.

Find the prime factorization of 10 then write it in the space provided.

(a)  

57.

What are the prime factors of 22?

(a)  

58.

Write the prime factorization of 49

(a)  

59.

Find the prime factorization of 81.

(a)  

60.

Provide the prime factors of 35.

(a)  

61.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

62.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
63.
Find the HCF of 40 and 60?
a)
10
b)
20
c)
30
d)
None of the above
64.
What is the LCM of 6 and 8 ?
a)
12
b)
18
c)
24
d)
36
65.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
66.

Which answer lists all the factors for 40?

a)

1,2,4,5,8,12,14,40

b)

1,2,3,4,5,8,10

c)

1,2,4,5,8,10,20,40

d)

1,2,4,5,6,7,8,9,10

67.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
68.

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

a)

HCF

b)

LCM

69.

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

a)

HCF

b)

LCM

70.

Find the LCM of 8 and 24 ...

a)

24

b)

48

c)

32

d)

64

71.

HCF and LCM of 20 and 14 are...

a)

2 dan 140

b)

2 dan 70

c)

3 dan 140

d)

3 dan 70

72.

Prime factorization of 240 are . . . .

a)

23 x 3 x 5

b)

24 x 3 x 5

c)

25 x 3 x 5

d)

26 x 3 x 5

73.
Find the HCF of 25 and 35
a)
10
b)
5
c)
7
d)
1
74.

Which shows the prime factorization of 84?

a)

2×2×3×72\times2\times3\times7

b)

2×2×3×3×72\times2\times3\times3\times7

c)

4×214\times21

d)

7×217\times21

75.

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

a)

90

b)

120

c)

30

d)

10

76.

What does LCM stand for?

a)

lowest common number

b)

lowest core number

c)

lowest core multiple

d)

lowest common multiple

77.

What does HCF stand for?

a)

Highest common factor

b)

Highest core frequency

c)

Highest common frequency

d)

Highest core factor

78.

Find the HCF of 32 and 80.

a)

8

b)

16

c)

24

d)

32

79.

Find the LCM of 120 and 150.

a)

300

b)

360

c)

450

d)

600