Year 6 Divisibility Rules Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 6 factors, multiples & primes worksheet.
Year 6 Divisibility Rules Worksheet — Level 3 — Answers
Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.
Answer: False
It must divide by 2 and by 3: the last digit is 7 (odd) and the digit sum is 10 (not a multiple of 3).
- A80,623
- B58,579
- C79,777
- D36,832
Answer: 36,832
The last three digits make 832, which is divisible by 8.
Answer: 6
- The digit sum is 27, which is divisible by 9.
Only the digit 6 works.
Answer: False
The last three digits make 179, which is not divisible by 8.
- A87,802
- B44,388
- C76,370
- D84,291
Answer: 44,388
The digit sum is 27, which is divisible by 9.
Answer: 2
- The digit sum is 18, which is divisible by 9.
Only the digit 2 works.
Answer: False
The last two digits make 86, which is not divisible by 4.
- A10,492
- B82,638
- C50,613
- D54,746
Answer: 82,638
It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 27 (a multiple of 3).
Answer: 4
- The digit sum is 27, which is divisible by 9.
Only the digit 4 works.
Answer: True
The last three digits make 784, which is divisible by 8.
- A25,149
- B75,484
- C14,362
- D95,701
Answer: 25,149
The digit sum is 21, which is divisible by 3.
Answer: 8
- The digit sum is 27, which is divisible by 9.
Only the digit 8 works.
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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