Factors are whole numbers which exactly divide another whole number.

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

A property is a character or quality that something has.

When you classify objects, you arrange the objects by some property.

Use knowledge of properties of number to solve problems

Maths

Explain how to identify common factors between two or more numbers

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

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

Lucas starts on 39 and can choose either a factor or multiple to create a chain. What could his next number be?

Look at the Venn diagram. It is not correct. Which number has been incorrectly placed?

Match the number to the letter representing the section it should be placed in.

Match the correct title of each row or column to the correct letter.

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

Match the square number to the correct factor.

How could you describe the multiplicative relationship between 25 and 100? 

Use knowledge of properties of number to solve problems

Lesson outcome