New
New
Year 5

Use knowledge of properties of number to solve problems

I can use knowledge of properties of number to solve problems.

New
New
Year 5

Use knowledge of properties of number to solve problems

I can use knowledge of properties of number to solve problems.

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Lesson details

Key learning points

  1. Properties of number allow us to talk about numbers and to sort and classify them

Keywords

  • Factor - Factors are whole numbers which exactly divide another whole number.

  • Multiple - A multiple is the result of multiplying a number by an integer (not by a fraction).

  • Property - A property is a character or quality that something has.

  • Classify - When you classify objects, you arrange the objects by some property.

Common misconception

Pupils who are insecure with their times tables may not be efficient at finding factors and multiples.

Provide children with a multiplication grid to support them in identifying factors and multiples. When finding a multiple, ask: 'Is it in the x times table?' When finding a factor, ask: 'Which times tables is this number in?'

You may like to provide children with physical Venn and Carroll diagrams with number cards that can be easily moved between each section if pupils are incorrect. Pupils could be asked to reason to a partner why each number should sit in each section of the diagrams before placing them in.
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

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6 Questions

Q1.
Complete the missing word. × factor = product
Correct Answer: factor
Q2.
Tick the factors of 27
Correct answer: 1
2
Correct answer: 3
7
Correct answer: 9
Q3.
32 is a multiple of:
Correct answer: 2
3
Correct answer: 4
Correct answer: 8
12
Q4.
Match the square number to the correct factor.
Correct Answer:1,1

1

Correct Answer:9,3

3

Correct Answer:25,5

5

Correct Answer:49,7

7

Correct Answer:81,9

9

Q5.
24 and 9 are common multiples of .
Correct Answer: 3, three
Q6.
How could you describe the multiplicative relationship between 25 and 100?
25 is 4 times the size of 100
100 is twice the size of 25
Correct answer: 100 is 4 times larger than 25
Correct answer: 25 × 4 = 100
100 = 25 × 2

6 Questions

Q1.
Tick the factors of 21
Correct answer: 3
4
5
6
Correct answer: 7
Q2.
Tick the multiples of 12
Correct answer: 12
Correct answer: 24
Correct answer: 36
Correct answer: 48
70
Q3.
Lucas starts on 39 and can choose either a factor or multiple to create a chain. What could his next number be?
An image in a quiz
Correct Answer: 1, 3, 13, 78
Q4.
Look at the Venn diagram. It is not correct. Which number has been incorrectly placed?
An image in a quiz
Correct Answer: 20
Q5.
Match the number to the letter representing the section it should be placed in.
An image in a quiz
Correct Answer:49,A

A

Correct Answer:25,B

B

Correct Answer:14,C

C

Correct Answer:55,D

D

Q6.
Match the correct title of each row or column to the correct letter.
An image in a quiz
Correct Answer:Composite number,A

A

Correct Answer:Prime number,B

B

Correct Answer:Multiples of 3,C

C

Correct Answer:Not multiples of 3,D

D