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
Share activities with 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
Share activities with pupils

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.

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.

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.

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).

Video

Skip 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