New
New
Year 4

Use divisibility rules for 3, 4, 6 and 8 times tables to solve problems

You can use divisibility rules for 3, 4, 6 and 8 times tables to solve problems.

New
New
Year 4

Use divisibility rules for 3, 4, 6 and 8 times tables to solve problems

You can use divisibility rules for 3, 4, 6 and 8 times tables to solve problems.

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Lesson details

Key learning points

  1. Multiples of 3 have a digit sum of a multiple of 3 and multiples of 6 are even multiples of 3
  2. If you can halve a number twice and get a whole number then the original number is a multiple of 4
  3. If you can halve a multiple of 4 and get a whole number then the original number is a multiple of 8

Keywords

  • Divisible - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.

  • Divisibility rules - Divisibility rules let you test if one number is divisible by another, without having to do too much calculation.

Common misconception

Pupils may confuse the divisibility rules or apply them incorrectly.

Display the rules so pupils can be reminded of them. Clarify each rule with clear examples and practice problems (e.g., a number is divisible by 3 if the sum of its digits is divisible by 3).

The numbers used for the divisibility checks in the first cycle are multiples within the times tables. Children should be familiar and confident in identifying whether numbers are divisible. Consider ways you could support your learners in remembering these rules.
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.
Which of these numbers are multiples of 4?
Correct answer: 20
Correct answer: 28
30
34
Correct answer: 36
Q2.
Which of these numbers are not multiples of 6?
12
Correct answer: 22
36
42
Correct answer: 56
Q3.
What calculations does this array show?
An image in a quiz
Correct answer: 4 × 8 = 32
Correct answer: 32 ÷ 4 = 8
Correct answer: 32 ÷ 8 = 4
Correct answer: 8 × 4 = 32
8 ÷ 4 = 32
Q4.
Match the array to the correct square number.
An image in a quiz
Correct Answer:Array a,

Correct Answer:Array b,

Correct Answer:Array c,

Q5.
Select the square numbers.
6
Correct answer: 25
40
Correct answer: 49
Correct answer: 81
Q6.
Jacob has designed a square. One side is 7 tiles long. How many tiles has he used? tiles
Correct Answer: 49

6 Questions

Q1.
Match the divisibility rules.
Correct Answer:Divisible by 3,The sum of the digits is divisible by 3

The sum of the digits is divisible by 3

Correct Answer:Divisible by 4,Halving the number gives an even number

Halving the number gives an even number

Correct Answer:Divisible by 6,The number is divisible by both 2 and 3

The number is divisible by both 2 and 3

Correct Answer:Divisible by 8,Halving the number twice gives an even value

Halving the number twice gives an even value

Q2.
Which statements are true?
16 is divisible by 3
Correct answer: 16 is divisible by 4
16 is divisible by 6
Correct answer: 16 is divisible by 8
Q3.
Which statement is not true?
36 is divisible by 3
36 is divisible by 4
36 is divisible by 6
Correct answer: 36 is divisible by 8
Q4.
True or false? 40 is divisible by 3
True
Correct answer: False
Q5.
Which statements are true?
Correct answer: 129 is divisible by 3
Correct answer: 600 is divisible by 8
30 is divisible by 4
16 is divisible by 6
Q6.
True or false? 24 is divisible by 3, 4, 6 and 8
Correct answer: True
False