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Lesson 2 of 19

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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Securing understanding of factors, multiples, squares and cubes

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

Lesson details

Key learning points

  1. Multiplication tables can be used to find multiples of a number.
  2. Multiplication tables can be used to find factor pairs of a number.
  3. Multiplication tables can be used to identify multiples of a number.
  4. 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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

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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 ?

20
Correct answer: 21
22
24
25

Q3.
How many multiples of 5 are there?

1
10
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?

8
Correct answer: 12
72
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.

An image in a quiz
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.

An image in a quiz
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

Lesson appears in

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

Maths

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