# Prime Factorisations with Indices (2)

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:

240

2 x 2 x 3 x 10

3² x 5

2³ x 3 x 5

24 x 3 x 5

Select the correct prime factorisation for:

264

24 x 11

3² x 2²

2³ x 3 x 11

2² x 13

Select the correct prime factorisation for:

128

264

82

27

2 x 64

Select the correct prime factorisation for:

224

2 x 3 x 5 x 7

25 x 7

24 x 11

3³ x 7

Select the correct prime factorisation for:

112

3 x 3 x 5

2³ x 5

2 x 34

24 x 7

Select the correct prime factorisation for:

150

2 x 3² x 5

2 x 3 x 5²

24 x 5

3 x 10 x 5

Select the correct prime factorisation for:

280

2³ x 3 x 5

2 x 4 x 11

2³ x 7 x 5

3² x 13

Select the correct prime factorisation for:

96

3 x 13 x 5

25 x 3

2³ x 3

24 x 5

Select the correct prime factorisation for:

200

4 x 5 x 17

2 x 2 x 5 x 5

2² x 5 x 11

2³ x 5²

Select the correct prime factorisation for:

216

2³ x 3³ x 5

2³ x 3 x 5

2³ x 3³

2² x 9 x 5

• Question 1

Select the correct prime factorisation for:

240

CORRECT ANSWER
24 x 3 x 5
• Question 2

Select the correct prime factorisation for:

264

CORRECT ANSWER
2³ x 3 x 11
• Question 3

Select the correct prime factorisation for:

128

CORRECT ANSWER
27
• Question 4

Select the correct prime factorisation for:

224

CORRECT ANSWER
25 x 7
• Question 5

Select the correct prime factorisation for:

112

CORRECT ANSWER
24 x 7
• Question 6

Select the correct prime factorisation for:

150

CORRECT ANSWER
2 x 3 x 5²
• Question 7

Select the correct prime factorisation for:

280

CORRECT ANSWER
2³ x 7 x 5
• Question 8

Select the correct prime factorisation for:

96

CORRECT ANSWER
25 x 3
• Question 9

Select the correct prime factorisation for:

200

CORRECT ANSWER
2³ x 5²
• Question 10

Select the correct prime factorisation for:

216

CORRECT ANSWER
2³ x 3³
---- OR ----

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