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Worksheets

LCM and HCF of numbers

Total questions: 70

Worksheet time: 5hrs 10mins

Name
Class
Date
1.
List the first 5 multiples of 3
a)
3, 6 10, 15, 20
b)
1, 3
c)
3, 6, 9, 12, 15
d)
6, 9, 12, 15, 18
2.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
3.
Which one is a multiple of 4?
a)
33
b)
22
c)
18
d)
24
4.
Joe has listed the first 4 multiples of 7 as: 
7   14    22     28
Which one is incorrect?
a)
7
b)
14
c)
22
d)
28
5.
Find the HCF of 21 and 28
a)
3
b)
4
c)
7
d)
14
6.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
7.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
8.
Find the HCF of 40 and 60?
a)
10
b)
20
c)
30
d)
None of the above
9.
What is the LCM of 6 and 8 ?
a)
12
b)
18
c)
24
d)
36
10.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
11.

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

12.

what are the first 5 prime numbers in ascending order?

a)

2,3,4,5,11

b)

1,2,3,5,11

c)

2,3,5,7,11

d)

2,3,11,7,5

13.

Which of these numbers is not prime?

a)

17

b)

25

c)

23

d)

37

14.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

15.

Find the LCM of 12 and 16...

a)

48

b)

36

c)

64

d)

96

16.

Find the HCF of 8 and 24 ...

a)

2

b)

4

c)

6

d)

8

17.

Find the highest common factor of 36 and 84.

a)

5

b)

6

c)

4

d)

12

18.

Choose the correct list of the first five multiples of 10.

a)

1, 10, 20, 30, 40

b)

10, 20, 30, 40, 50

c)

5, 10, 15, 20, 25

d)

10, 30, 40, 50, 60

19.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

20.

Find the LCM for 6, 18, and 36

a)

6

b)

18

c)

36

d)

108

21.

Which number is a factor of 10

a)

3

b)

4

c)

5

d)

8

22.
Find the HCF of 12 and 15 ?
a)
2
b)
2 x 3
c)
3
d)
60
23.

What does HCF stand for?

a)

Highest common factor

b)

Highest core frequency

c)

Highest common frequency

d)

Highest core factor

24.

What does LCM stand for?

a)

lowest common number

b)

lowest core number

c)

lowest core multiple

d)

lowest common multiple

25.

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

26.

Write 36 as the product of its 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

27.
Find the HCF of 30 and 36
a)
2
b)
3
c)
4
d)
6
28.

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

a)

24, 30, 34

b)

24, 36, 42

c)

24, 30, 36

d)

22, 28, 34

29.

Find the LCM of 6 and 9...

a)

18

b)

30

c)

24

d)

36

30.

What is a factor?

a)

a number or quantity that when multiplied with another produces a given number or expression.

b)

a number that can be divided by another number without a remainder.

c)

A Number

d)

A number experssiona to solve a multiplication problem

SHOW ANSWER

31.

17 is a PRIME NUMBER because it has just ___ factors: ___ and ___.

a)

2, 5, 7

b)

two, itself, 1

c)

2, 15, 2

d)

2, 8.5, 2

32.

Which of these statements is true?

a)

All numbers have 4 factors.

b)

2 is a factor of every number.

c)

1 is a factor of every number.

d)

All odd numbers have an odd number of factors.

33.

Find the HCF for 18, 36, and 81

a)

3

b)

2

c)

6

d)

9

34.

if a number is divisible by 3 and 7 by which other number will it also be divisible?

a)

3

b)

7

c)

10

d)

21

35.
List the first 5 multiples of 3
a)
3, 6 10, 15, 20
b)
1, 3
c)
3, 6, 9, 12, 15
d)
6, 9, 12, 15, 18
36.
A prime number is...
a)
a number that has only one factor.
b)
a number that has at least two factors.
c)
a number that has more than two factors.
d)
a number that has only two factors.
(1 and itself)
37.

Numbers that you multiply to get another number are ______________ of the product.

a)

Multiples

b)

Prime

c)

Factors

d)

Times

38.

what are the first 5 prime numbers in ascending order?

a)

2,3,4,5,11

b)

1,2,3,5,11

c)

2,3,5,7,11

d)

2,3,11,7,5

39.

Name the 5th prime number.

a)

2

b)

11

c)

5

d)

7

40.

Which is the only prime number that is even?

a)

14

b)

22

c)

17

d)

2

41.

Which are factor pairs of 45?

a)

1,45,5,9

b)

1,3,7,9

c)

5,7,8,9

d)

7,9,5,2

42.

Which of the following numbers has 21 as a factor?

a)

43

b)

63

c)

83

d)

103

43.

Which of the following lists all the factors of the number 46?

a)

1, 2, 3, 46

b)

1, 3, 4, 46

c)

1, 4, 13, 46

d)

1, 2, 23, 46

44.

3 is a factor of x. x is a factor of 63. The possible value of x is

a)

6

b)

7

c)

9

d)

12

45.

Which of the following is a prime number?

a)

19

b)

39

c)

49

d)

69

46.

Which of the following is a prime factor of the number 50?

a)

1

b)

3

c)

5

d)

10

47.

The first three prime numbers which are greater than 20 are

a)

21, 23, 29

b)

23, 27, 29

c)

23, 29, 31

d)

27, 29, 31

48.

Which of the following shows the prime factorization of 232?

a)

1 × 232

b)

4 × 58

c)

2 × 2 × 2 × 29

d)

1 × 2 × 2 × 2 × 29

49.

Which of the following is a common factor of 17 and 51?

a)

3

b)

17

c)

19

d)

23

50.

Which of the following sets of numbers have a common factor of 7?

a)

12, 28, 34

b)

14, 30, 47

c)

16, 29, 35

d)

21, 49, 84

51.

What is the greatest number that can divide 18, 54 and 63 without leaving any remainder?

a)

2

b)

3

c)

6

d)

9

52.

Which of the following sets of numbers have 2 as their highest common factor?

a)

48, 56, 78

b)

50, 60, 70

c)

52, 64, 84

d)

66, 90, 138

53.

What is the highest common factor of 24, 64 and 132?

a)

1

b)

2

c)

3

d)

4

54.

The highest common factor of 18 and y is 9. The possible value of y is

a)

36

b)

27

c)

24

d)

21

55.

Which of the following is not a common multiple of 12 and 20?

a)

120

b)

140

c)

240

d)

360

56.

Which of the following sets of numbers have the lowest common multiple of 48?

a)

2, 12, 24

b)

16, 24, 48

c)

18, 19, 20

d)

20, 40, 45

57.

Composite numbers

a)

Are always bigger than prime numbers

b)

Don't have factors

c)

Have 2 pairs of factors

d)

Have more than 2 pairs of factors

58.

What is the LCM of 2,4,6

a)

4

b)

6

c)

2

d)

12

59.

Is 35 prime or composite

a)

composite

b)

prime

60.

HCF of 27 and 70

a)

5

b)

7

c)

10

d)

3

61.

Using a factor tree ,find the prime factorization of 48 in expanded form

a)

7x7x7

b)

2x2x2x2x3x3x5

c)

2x2x2x2x3

d)

2x12x12

62.

What is the LCM of 4 and 10

a)

40

b)

15

c)

4

d)

20

63.

Find the HCF of 64 and 144.

Hint-Remember to use your factor

trees to help you .

a)

16

b)

6

c)

8

d)

2

64.

Which pair of numbers has a GCF of 5 ?

a)

50 and 25

b)

30 and 40

c)

10 and 25

d)

45 and 9

65.

Which of these is NOT a factor of 20?

a)

2

b)

6

c)

20

d)

4

66.

Prime Numbers have:

a)

2 pairs of factor

b)

1 factor

c)

Exactly 2 factors

d)

More than 2 factors

67.

Using prime factorization find the LCM of 24 and 56

a)

8

b)

24

c)

168

d)

12

68.

What is the GCF of 30 and 18

a)

2

b)

6

c)

3

d)

9

69.

What is the LCM of 6 and 2

a)

6

b)

2

c)

3

d)

12

70.

Find the greatest common factor of: 30 & 24

a)

6

b)

5

c)

3

d)

12