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

Explain what a factor is and use arrays and multiplication and division facts to find them

Explain how to find all the factors of a number systematically

Explain how to identify a prime number or a composite number

Explain how to identify a prime factor of a number

In this unit pupils will understand and use the concept of factorisation, explaining what a factor is and how to use arrays and multiplication/division facts to find them. They will identify prime numbers, square 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 understand and use the concept of factorisation, explaining what a factor is and how to use arrays and multiplication/division facts to find them. They will identify prime numbers, square numbers and composite numbers.

In this unit pupils will understand and use the concept of factorisation, explaining what a factor is and how to use arrays and multiplication/division facts to find them. They will identify prime numbers, square 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

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

Lesson outcome