Factors are whole numbers which exactly divide another whole number.

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

Use a complete list of factors to explain when a number is a square number

Maths

In this unit pupils will explain reasons for changing 2-factor multiplication calculations to 3-factor multiplications explaining what a factor is and how to use arrays and multiplication/division facts to find them.  They will identify prime numbers and composite numbers. In the future unit pupils will explain how to identify a multiple or common multiple to solve problems in a range of contexts.

In the prior unit pupils explained the use of the commutative and associative laws when multiplying three or more numbers. In this unit pupils will explain reasons for changing 2-factor multiplication calculations to 3-factor multiplications explaining what a factor is and how to use arrays and multiplication/division facts to find them. They will identify prime numbers and composite numbers

Understand and use the concept of factorisation (square and prime numbers)

Which multiplication is shown by this array?

What square number is represented by this incomplete factor bug?

Tick the lists which show factors of a square number.

Match the expression to the correct square number.

Complete the missing square number from this list: 1, 4, 9, {{ }}, 25

Which factor is missing from the factor bug?

What number has only the following factors: 1, 2, 11, 22

Which of these is the correct full list of factors of 26?

What is the missing factor of 54 from this list?  1, 2, 3, 6, 18, 27, 54

What is the missing factor of 69 from this list?  1, 23, 69

This lesson will be removed by end of Summer Term 2025.

Use a complete list of factors to explain when a number is a square number

Lesson outcome

This lesson will be removed by end of Summer Term 2025.