New
New
Year 7
Divisibility tests for 6 and 9
I can identify and explain whether a number is or is not a multiple of a given integer.
New
New
Year 7
Divisibility tests for 6 and 9
I can identify and explain whether a number is or is not a multiple of a given integer.
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Lesson details
Key learning points
- A number is a multiple of 6 if and only if it also is a multiple of 2 and 3.
- For any multiple of 9 the sum of its digits is also a multiple of 9.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
Common misconception
Incorrectly summing the digits to identify a multiple of 3 or 9.
Use number bonds to sum large numbers of digits.
Students could come up to the board and create a class version of the multiple of 9 maze. This will give students the opportunity to think about examples and non-examples to ensure that there is only one route through the maze.
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), 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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Starter quiz
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6 Questions
Q1.
Divisibility is a number’s ability to be:
squared
divided by another number
multiplied by another number
Q2.
A number is a multiple of 3 when the sum of its digits is divisible by
Q3.
Match each number with the correct statement.
is divisible by 2 and 3
is divisible by 2
is not divisible by 2 or 3
is divisible by 3
Q4.
Is the statement "all common multiples of 2 and 3 are even" sometimes true, always true or never true?
Sometimes true
Never true
Q5.
Is the statement "all common multiples of 3 and 7 are even" sometimes true, always true or never true?
Always true
Never true
Q6.
The number 238 839 239 382.33 has a digit sum of 66. Sofia says it is a multiple of 3. Alex says it is also a multiple of 2. Andeep says it is not a multiple of 2 or 3. Who is correct?
Sofia
Alex
They are all incorrect.
Exit quiz
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6 Questions
Q1.
All numbers that are divisible by 2 and divisible by 3 are also divisible by 1 and
Q2.
Which of these numbers is divisible by 6?
8992
9374
390 021
Q3.
Which of these numbers is divisible by 6?
51 370
51 374
51 376
Q4.
Match the divisibility test with the correct summary.
states the sum of its digits is a multiple of 3
states the digits 0, 2, 4, 6 or 8 must be in the ones column
states the sum of the digits is a multiple of 9
Q5.
Jun says 340 is a multiple of 6. Jacob says 312 is a multiple of 6. Lucas says 366 is a multiple of 6. Who is incorrect?
All of them
Jacob
Lucas
Q6.
Which of the following is divisible by both 6 and 9?
328 204 901
367 982 200
422 893 903