Explain how to find all the factors of a number systematically

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)

Look at the rectangle on the grid. What is being represented?

Look at the rectangle on the grid. What other factor pairs would make a rectangle covering the same area?

Which factor is missing from the factor bug?

What number is represented by the factor bug?

What number is represented by the incomplete factor bug?

What multiplication equation does this array represent?

What is the missing factor in this image?

Which of these are correct arrays for 12?

Which of these make a rectangle with an area of 32 cm $$^2$$?

Complete the missing factor: 12 × {{ }} = 60 

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

Explain how to find all the factors of a number systematically

Lesson outcome

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