# Prime Factorisations with Indices (1)

In this worksheet, students select the correct prime factorisation for the given numbers.

Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Concepts and Vocabulary for All Numbers

Difficulty level:

### QUESTION 1 of 10

The list of prime numbers starts as follows:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37........

All other whole numbers are known as composite and can be written as the product of prime factors.

This is known as  prime factorisation

We use indices to tidy up long strings of the same number.

Examples

54 = 2 x 3 x 3 x 3 = 2 x 33

28 = 2 x 2 x 7 = 22 x 7

24 = 2 x 2 x 2 x 3 = 23 x 3

Select the correct prime factorisation for:

40

2² x 5

2 x 2 x 5 x 5

4 x 5

2³ x 5

Select the correct prime factorisation for:

56

2 x 3²

2² x 5

3 x 3 x 5

2³ x 7

Select the correct prime factorisation for:

30

2 x 3² x 5

2 x 3 x 5

2² x 5

3 x 10

Select the correct prime factorisation for:

28

2² x 7

2 x 4

Select the correct prime factorisation for:

48

2³ x 3

24 x 3

3 x 3 x 5

2³ x 5

Select the correct prime factorisation for:

80

2³ x 5

3² x 5

2 x 2 x 3

24 x 5

Select the correct prime factorisation for:

88

2³ x 11

3² x 2²

8 x 11

2² x 9

Select the correct prime factorisation for:

64

82

232

26

2 x 32

Select the correct prime factorisation for:

112

2³ x 11

24 x 7

2 x 3 x 7

3³ x 7

Select the correct prime factorisation for:

108

2² x 3³

2³ x 3

2³ x 3³

2² x 9

• Question 1

Select the correct prime factorisation for:

40

2³ x 5
• Question 2

Select the correct prime factorisation for:

56

2³ x 7
• Question 3

Select the correct prime factorisation for:

30

2 x 3 x 5
• Question 4

Select the correct prime factorisation for:

28

2² x 7
• Question 5

Select the correct prime factorisation for:

48

24 x 3
• Question 6

Select the correct prime factorisation for:

80

24 x 5
• Question 7

Select the correct prime factorisation for:

88

2³ x 11
• Question 8

Select the correct prime factorisation for:

64

26
• Question 9

Select the correct prime factorisation for:

112

24 x 7
• Question 10

Select the correct prime factorisation for:

108

2² x 3³
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