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30 is the 5th multiple of the number 6.

Level 3-4 Algebra - Multiples

Understand multiples in KS3 algebra. Spot repeated addition, scale factors, and patterns in sequences to simplify calculations and check divisibility when solving problems.

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Fascinating Fact:

In algebraic sequences, the difference between terms often shows the multiple, like 3x, 6x, 9x increasing by 3x each time.

In KS3 Maths, multiples help you recognise patterns, scale quantities, and test divisibility. You’ll read and build sequences, use common multiples for timing or alignment problems, and simplify algebra by spotting repeated factors.

Key Terms

Multiple: A number or expression made by multiplying another, e.g. 18 is a multiple of 3; 6x is a multiple of x.
Common multiple: A value that is a multiple of two or more numbers, like 12 for 3 and 4.
Lowest common multiple (LCM): The smallest positive common multiple, useful for aligning cycles or adding fractions.

Frequently Asked Questions (Click to see answers)

What is a multiple in KS3 maths?

A multiple is the result of multiplying a number by an integer. For example, multiples of 5 are 5, 10, 15, 20; multiples of x include 2x, 3x, 4x.

How do I find the lowest common multiple (LCM)?

List multiples of each number and choose the first match, or use prime factorisation to combine the highest powers of shared primes.

How are multiples used in sequences?

In arithmetic sequences, a constant difference shows repeated addition of a multiple. For example, 3x, 6x, 9x increases by 3x each step.

Try These Related Quizzes

1 .

Which of the following are common factors of 6, 12, 18 and 24?

2 and 3

3 and 4

4 and 5

5 and 6

Both 2 and 3 will divide into all the numbers given (6, 12, 18 and 24)

2 .

The 4^th and 5^th multiples of a number are 24 and 30. What is the number?

If you know your times tables then multiples aren't very difficult

3 .

Which of these numbers is not a multiple of 3 and 4?

3 and 4 cannot be divided into 50 to give answers of whole numbers

4 .

Is 66 a multiple of 3 and 11?

Yes

Seldom

Often

Both 3 and 11 will divide into 66 and give results of a whole number

5 .

What are the first 3 multiples of 15?

3, 5, 7.5

5, 10, 15

15, 30, 45

30, 60, 90

1 x 15 = 15; 2 x 15 = 30; 3 x 15 = 45

6 .

The 2^nd and 3^rd multiples of a number are 22 and 33. What is the number?

Simply divide 22 by 2 and 33 by 3. Easy eh?

7 .

What are the first 4 multiples of 7?

0, 7, 14, 21

1, 7, 14, 21

7, 14, 21, 28

14, 21, 28, 35

1 x 7 = 7; 2 x 7 = 14; 3 x 7 = 21; 4 x 7 = 28

8 .

The first 3 multiples of a number are 8, 16, 24. What is the number?

8, 16 and 24 are all in the 8 times table

9 .

Which of the following is a common factor of 15, 30, 45 and 60?

5 and 3 can be divided into all the numbers given and the result is always a whole number. Remember that multiples are always whole numbers

10 .

Is the number 43 a multiple of the number 11?

Yes

Seldom

Often

44 is a multiple of 11 but 43 most definitely is not!

You can find more about this topic by visiting BBC Bitesize - Prime numbers, factors and multiples

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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