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Year 5 · Division
Divisibility rules
Divisibility rules let you check if a number divides exactly without doing the division.
How to do it
- 2: last digit is even
- 3: digits add up to a multiple of 3
- 4: last two digits divide by 4
- 5: ends in 0 or 5
- 6: divides by both 2 and 3
- 9: digits add up to a multiple of 9
- 10: ends in 0
Worked example
Is 462 divisible by 6?
Divisible by 6 means divisible by both 2 and 3. 462 is divisible by 6 (462 ÷ 6 = 77).
Answer: Yes
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Watch outThe digit-sum rule only works for 3 and 9.
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