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Securing understanding of factors, multiples, squares and cubes

I can use the multiplication tables to identify factors and multiples.

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Lesson 2 of 19

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Year 7

Securing understanding of factors, multiples, squares and cubes

I can use the multiplication tables to identify factors and multiples.

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Lesson details

Key learning points

Multiplication tables can be used to find multiples of a number.
Multiplication tables can be used to find factor pairs of a number.
Multiplication tables can be used to identify multiples of a number.
Multiplication tables can be used to identify factors of a number.

Keywords

Multiple - A multiple is the product of a number and an integer.
Numerical factor - A numerical factor is a factor that is an integer.

Common misconception

All factors of all integers will appear in a 12 by 12 times table grid.

It is not possible to identify all factors of 24 using a 12 by 12 times table grid.

Get students to find all the factors of 100 from a 12 by 12 grid. They will not be able to find the factor pair 1 and 100. The multiplication grid needs to be big enough to find all of the factors of an integer.

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Licence

This content is © Oak National Academy Limited (2026), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Prior knowledge starter quiz

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6 Questions

Q1.
A numerical is an integer which exactly divides another integer.

Correct Answer: factor

Q2.
Which of the following is a multiple of 7 ?

Correct answer: 21

Q3.
How many multiples of 5 are there?

100

Correct answer: infinite

Q4.
A __________ number is the product of two repeated integers.

cube

product

prime

sum

Correct answer: square

Q5.
Which of the following is a factor of 36?

Correct answer: 12

108

Q6.
Work out the unknown number: "I am less than 100. I am a cube number. I am a factor of 24. I am even."

Correct Answer: 8, eight

Assessment exit quiz

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6 Questions

Q1.
and are inverse concepts.

Correct answer: Factors and multiples

Squares and cubes

Decimals and fractions

Q2.
Given the calculation $$ 8\times 5 = 40 $$, select the correct statement:

40 is a factor of 8 and 5

40 is a square number

8 and 5 are multiples of 40

Correct answer: 8 and 5 are factors of 40

Q3.
What number is a factor of every integer except zero?

Correct Answer: 1, one

Q4.
List all the factors of 5. Use the multiplication grid to help you.

5, 10, 15, 20, 25, 30, 35, 40

Correct answer: 1, 5

1, 2, 4, 8

Not possible as there are infinite number of factors of 5

Q5.
List all the multiples of 8. Use the multiplication grid to help you.

1, 2, 4, 8

8, 16, 24, 32, 40, 48, 48, 56, 64

Correct answer: Not possible as there are an infinite number of multiples of 8

Q6.
Identify if the statement is sometimes true, always true or never true. "A multiple of a number is bigger than its highest factor."

Correct answer: Sometimes

Always

Never

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UnitMaths / Properties of number: factors, multiples, squares and cubes

Maths

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Securing understanding of factors, multiples, squares and cubes

Securing understanding of factors, multiples, squares and cubes

Lesson slides

Lesson details

Key learning points

Keywords

Common misconception

Licence

Lesson video

Worksheet

Prior knowledge starter quiz

6 Questions

Q1.A numerical is an integer which exactly divides another integer.

Q2.Which of the following is a multiple of 7 ?

Q3.How many multiples of 5 are there?

Q4.A __________ number is the product of two repeated integers.

Q5.Which of the following is a factor of 36?

Q6.Work out the unknown number: "I am less than 100. I am a cube number. I am a factor of 24. I am even."

Assessment exit quiz

6 Questions

Q1.__________ and __________ are inverse concepts.

Q2.Given the calculation $$ 8\times 5 = 40 $$, select the correct statement:

Q3.What number is a factor of every integer except zero?

Q4.List all the factors of 5. Use the multiplication grid to help you.

Q5.List all the multiples of 8. Use the multiplication grid to help you.

Q6.Identify if the statement is sometimes true, always true or never true. "A multiple of a number is bigger than its highest factor."

Lesson appears in

UnitMaths / Properties of number: factors, multiples, squares and cubes

Maths

Q1.
A numerical is an integer which exactly divides another integer.

Q2.
Which of the following is a multiple of 7 ?

Q3.
How many multiples of 5 are there?

Q4.
A __________ number is the product of two repeated integers.

Q5.
Which of the following is a factor of 36?

Q6.
Work out the unknown number: "I am less than 100. I am a cube number. I am a factor of 24. I am even."

Q1.
and are inverse concepts.

Q2.
Given the calculation $$ 8\times 5 = 40 $$, select the correct statement:

Q3.
What number is a factor of every integer except zero?

Q4.
List all the factors of 5. Use the multiplication grid to help you.

Q5.
List all the multiples of 8. Use the multiplication grid to help you.

Q6.
Identify if the statement is sometimes true, always true or never true. "A multiple of a number is bigger than its highest factor."