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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.

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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.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. For any multiple of 10 the place value of the ones column is zero.
  2. For any multiple of 5 the place value of the ones column is zero or five.
  3. Any multiple of 10 is also a multiple of 5 and 2.

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.

Keywords

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

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 (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.
List the first six multiples of 5
1, 2, 3, 4, 5, 6
1, 5, 10, 15, 20, 25
Correct answer: 5, 10, 15, 20, 25, 30
10, 15, 20, 25, 30, 35
Q2.
All numbers that are divisible by 6 are also divisible by __________
1 and 5
Correct answer: 2 and 3
2 and 4
8
Q3.
Which of these numbers is divisible by 6?
60 434
63 536
64 000
Correct answer: 64 896
Q4.
Which of these numbers is divisible by 9?
467 476
4 739 874
Correct answer: 432 840 933
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?
Large numbers are unlikely to be divisible by 6
The number is prime
Correct answer: It is odd so it can not be divisible by 6
Its digit sum is not divisible by 3
Q6.
Which of the following numbers is divisible by both 6 and 9?
204 901
867 982
22 893 906
Correct answer: 28 082 808

Exit quiz

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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?
0
5
Correct answer: 0 or 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?
Correct answer: 353 555 430
423 554 359
Correct answer: 453 245 235
354 352 454
Q3.
Which of the following numbers is divisible by 10?
147 389
218 475
234 838
Correct answer: 384 320
Q4.
Match each statement with the correct divisibility test.
Correct Answer:For all multiples of 2 ...,the digits 0, 2, 4, 6 or 8 are in the ones column

the digits 0, 2, 4, 6 or 8 are in the ones column

Correct Answer:For all multiples of 3 ...,the sum of digits are a multiple of 3

the sum of digits are a multiple of 3

Correct Answer:For all multiples of 5 ...,the digits 0 or 5 are in the ones column

the digits 0 or 5 are in the ones column

Correct Answer:For all multiples of 9 ...,the sum of digits are a multiple of 9

the sum of digits are a multiple of 9

Correct Answer:For all multiples of 10 ...,the digit 0 is in the ones column

the digit 0 is in the ones column

Q5.
Numbers that are divisible by 3 and 5 are:
Correct answer: divisible by 15
divisible by 8
all odd
all even
Q6.
Which number is a multiple of 3, 5 and 10?
2 143 284 035
Correct answer: 3 489 023 480
3 498 840 353
3 500 000 000