New
New
Year 4

Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems

I can use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems.

New
New
Year 4

Use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems

I can use divisibility rules for 2, 3, 4, 5, 6, 8 and 10 times tables to solve problems.

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Lesson details

Key learning points

  1. There are divisibility rules for 2, 4 and 8 which involve halving, halving twice and halving three times.
  2. Multiples of 10 have a zero in the ones and multiples of 5 have a 5 or a zero in the ones.
  3. Multiples of 3 have a digit sum of 3
  4. Multiples of 6 are even numbered multiples of 3

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 struggle to apply multiple divisibility rules simultaneously.

Have the rules visible, practise applying multiple rules step-by-step to ensure understanding and accuracy.

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. Encourage discussions regarding the relationship of divisibility between 2, 4 and 8, 5 and 10, 3, 6 and 9
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.
Match the divisibility rules.
Correct Answer:The number is divisible by 4 ,if halving it gives an even value.

if halving it gives an even value.

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

if it is divisible by both 2 and 3

Correct Answer:The number is divisible by 8 ,if halving a number twice gives an even value.

if halving a number twice gives an even value.

Correct Answer:The number is divisible by 3,if the sum of the digits is divisible by 3

if the sum of the digits is divisible by 3

Q2.
Which statements are true?
Correct answer: 18 is divisible by 3
18 is divisible by 4
Correct answer: 18 is divisible by 6
18 is divisible by 8
Q3.
Which statements are not true?
30 is divisible by 3
Correct answer: 30 is divisible by 4
30 is divisible by 6
Correct answer: 30 is divisible by 8
Q4.
True or false? 90 is divisible by 6
Correct answer: True
False
Q5.
Which statements are true?
125 is divisible by 3
700 is divisible by 8
Correct answer: 600 is divisible by 4
Correct answer: 54 is divisible by 6
Q6.
True or false. 48 is divisible by 3, 4, 6 and 8
Correct answer: True
False

6 Questions

Q1.
Match the divisibility rules
Correct Answer:Divisible by 2,the ones digit is even

the ones digit is even

Correct Answer:Divisible by 5,the ones digit is 5 or 0

the ones digit is 5 or 0

Correct Answer:Divisible by 10,the ones digit is 0

the ones digit is 0

Correct Answer:Divisible by 9,the sum of the digits is divisible by 9

the sum of the digits is divisible by 9

Q2.
Which statements are true?
Correct answer: 30 is divisible by 3
Correct answer: 30 is divisible by 6
30 is divisible by 9
Correct answer: 30 is divisible by 5
30 is divisible by 4
Q3.
Which statements are not true?
60 is divisible by 2 and 4
Correct answer: 45 is divisible by 9 and 6
40 is divisible by 4 and 10
Correct answer: 72 is divisible by 8 and 5
Q4.
True or false. 198 is divisible by 9
Correct answer: True
False
Q5.
There are 228 competitors at a sports event. They are put into an equal number of teams. How many teams could there be?
Correct answer: 3
Correct answer: 4
8
Q6.
If there are 390 books in the library and they are organised equally onto shelves, how many shelves could there be?
Correct answer: 10
9
8
Correct answer: 6
Correct answer: 5