Divisibility tests for 4 and 8
I can identify and explain whether a number is or is not a multiple of a given integer.
Divisibility tests for 4 and 8
I can identify and explain whether a number is or is not a multiple of a given integer.
Lesson details
Key learning points
- A number is a multiple of 4 if and only if the last two digits are a multiple of 4.
- Any multiple of 4 is also a multiple of 2.
- A number is a multiple of 8 if and only if the last three digits are a multiple of 8.
- Any multiple of 8 is also a multiple of 4 and 2.
Common misconception
Often students only consider the last 2 digits of a number to check for divisibility for 8.
The last 2 digits check for divisibility for 4 not 8.
Keywords
Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.
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).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
For all multiples of 2 ... -
the digit in the ones column is a 0, 2, 4, 6 or 8
For all multiples of 4 ... -
the last two digits are a multiple of 4
For all multiples of 8 ... -
the last three digits are a multiple of 8
For all multiples of 9 ... -
the sum of the digits are a multiple of 9
For all multiples of 10 ... -
the digit in the ones column is a 0