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.

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

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.

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.

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).

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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