New
New
Divisibility tests for 5 and 10
I can identify and explain whether a number is or is not a multiple of a given integer.
Lesson 6 of 19
New
New
- Year 7
Divisibility tests for 5 and 10
I can identify and explain whether a number is or is not a multiple of a given integer.
Lesson details
Key learning points
- For any multiple of 10 the place value of the ones column is zero.
- For any multiple of 5 the place value of the ones column is zero or five.
- Any multiple of 10 is also a multiple of 5 and 2.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Common misconception
A number is a prime if it is not divisible by 2, 3, 5 or 10.
A factor of a number can be greater than 10.
Give students the opportunity to create their own 'reveal a number' grid. This will give students the opportunity to consider examples and non-examples to ensure that the correct number is revealed.
Teacher tip
Licence
This content is © Oak National Academy Limited (2026), 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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Prior knowledge starter quiz
6 Questions
Q1.List the first six multiples of 5
List the first six multiples of 5
1, 2, 3, 4, 5, 6
1, 5, 10, 15, 20, 25
10, 15, 20, 25, 30, 35
Q2.All numbers that are divisible by 6 are also divisible by __________
All numbers that are divisible by 6 are also divisible by __________
1 and 5
2 and 4
8
Q3.Which of these numbers is divisible by 6?
Which of these numbers is divisible by 6?
60 434
63 536
64 000
Q4.Which of these numbers is divisible by 9?
Which of these numbers is divisible by 9?
467 476
4 739 874
454 792 935
Q5.Jun can see immediately that 239 284 214 389 184 391 is not divisible by 6. Which statement explains Jun's reasoning?
Jun can see immediately that 239 284 214 389 184 391 is not divisible by 6. Which statement explains Jun's reasoning?
Large numbers are unlikely to be divisible by 6
The number is prime
Its digit sum is not divisible by 3
Q6.Which of the following numbers is divisible by both 6 and 9?
Which of the following numbers is divisible by both 6 and 9?
204 901
867 982
22 893 906
Assessment exit quiz
6 Questions
Q1.Lucas has a four digit number. The first three digits are: 3, 4 and 5. What must the last digit be to make the number divisible by 5?
Lucas has a four digit number. The first three digits are: 3, 4 and 5. What must the last digit be to make the number divisible by 5?
0
5
0, 2, 4, 6, 8
Any number so long as the digits sum to a multiple of 5
Q2.Which of the following numbers are divisible by 5?
Which of the following numbers are divisible by 5?
423 554 359
354 352 454
Q3.Which of the following numbers is divisible by 10?
Which of the following numbers is divisible by 10?
147 389
218 475
234 838
Q4.Match each statement with the correct divisibility test.
Match each statement with the correct divisibility test.
Q5.Numbers that are divisible by 3 and 5 are:
Numbers that are divisible by 3 and 5 are:
divisible by 8
all odd
all even
Q6.Which number is a multiple of 3, 5 and 10?
Which number is a multiple of 3, 5 and 10?
2 143 284 035
3 498 840 353
3 500 000 000
