A multiple is the result of multiplying a number by an integer (not by a fraction).

A common multiple is a multiple that is common to two or more numbers.

Explain how to identify a common multiple of two or more numbers

Maths

Explain how to identify common factors between two or more numbers

Use knowledge of properties of number to solve problems

Explain how to use the factor pairs of 100 to solve calculations efficiently

Use properties of numbers and the commutative and associative laws to simplify calculations

 In this unit pupils will explain how to identify a multiple or common multiple to solve problems in a range of contexts. In the future unit pupils will explain why the product stays the same when one factor is doubled and the other is halved and use knowledge of equivalence when scaling factors to solve problems.

In the prior unit pupils understood and used the concept of factorisation, explaining what a factor is and how to use arrays and multiplication/division facts to find them. They identified prime numbers, square numbers and composite numbers. In this unit pupils will explain how to identify common factors and multiples and use this with knowledge commutative and associative laws to solve problems.

In this unit pupils will explain how to identify common factors and multiples and use this knowledge of properties of number along with knowledge of the commutative and associative laws to solve problems in a range of contexts.

Use common factors and multiples to solve calculations efficiently

Write the number that would represent a multiple in this equation.       56 = 8 × 7

My number is between 30 and 40
It is a multiple of 2
It is a multiple of 6
4 is a factor of this number.
The sum of its digits add up to 9
What is my number?

Complete the missing word. factor × factor = {{  }}

Tick the number that is not a factor of 25

Tick the number that would represent a multiple in the equation 3 × 7 = 21

Write the number that would represent a multiple in this equation. 42 ÷ 6 = 7

Match the multiples to the times table it is a part of.

Explain how to identify a common multiple of two or more numbers

Lesson outcome