New
New
Year 5

# Explain how to identify common factors between two or more numbers

I can explain how to identify common factors between two or more numbers.

New
New
Year 5

# Explain how to identify common factors between two or more numbers

I can explain how to identify common factors between two or more numbers.

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## Lesson details

### Key learning points

1. A common factor is a factor which is shared by two or more numbers

### Common misconception

Pupils may only record a prime factor once in the Venn diagram even though it might be used more than once in the composition of the number.

It is important the clarify that we are finding common prime factors that are used in the composition of two numbers, and this might include a prime factor being used more than once.

### Keywords

• Factor - A factor is a whole number which exactly divides another whole number.

• Common factor - When we compare lists of factors of two or more numbers, any factors that are the same are common factors.

• Prime factor - A prime factor is a factor of a number that is a prime number.

There are some great online resources which can support demonstrating how numbers can be composed and decomposed using prime factors. Consider how these can be used alongside slides and learner-made representations to enhance understanding.
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).

## Starter quiz

### 6 Questions

Q1.
Two numbers that multiply each other to form a product are known as:
multiples
products
Q2.
Tick the number(s) that represent the factors in this equation 21 = 7 × 3
21
Q3.
Match the factor pairs for the product of 20

20

10

5

Q4.
Write down the incorrect factor of 30 from this factor bug.
Q5.
Tick the prime factors of 12, using the factor circle to help you.
1
4
12
Q6.
Which image of a factor circle represents the number 24 as prime factors?
Correct Answer: An image in a quiz

## Exit quiz

### 6 Questions

Q1.
Tick the factors of 15
2
Q2.
Common factors are:
Factors that are in every number
Correct answer: Factors that two or more numbers share
Factors that are found the most in numbers
Q3.
Tick the common factors of 12 and 15
2
5
12
Q4.
Complete the sentence. is a common factor of every number.
Q5.
Use the prime factors to find the factors of 36 Tick each correct factor