Skip to content
Oak National Academy
Oak National Academy
Teachers
Pupils
New
New
Year 7

Securing understanding of factors, multiples, squares and cubes

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

Download all resources
arrow-right
Share activities with pupils
arrow-right
New
New
Year 7

Securing understanding of factors, multiples, squares and cubes

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

Download all resources
arrow-right
Share activities with pupils
arrow-right
warning

These resources will be removed by end of Summer Term 2025.

Switch to our new teaching resources now - designed by teachers and leading subject experts, and tested in classrooms.
View new resources
arrow-right

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Lesson video

Skip lesson video

Loading...

Starter quiz

Download starter quiz

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

Exit quiz

Download exit quiz

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