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Year 6 Divisibility Rules Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 6 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Factors, Multiples & Primes

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.

1.9,778 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 31 (not a multiple of 3).

2.Which number is divisible by 8?
  1. A62,008
  2. B42,425
  3. C10,789
  4. D30,205

Answer: 62,008

The last three digits make 8, which is divisible by 8.

3.Find the missing digit so that 31 (answer space)69 is divisible by 9.

Answer: 8

  1. The digit sum is 27, which is divisible by 9.

Only the digit 8 works.

4.44,178 is divisible by 9.

Answer: False

The digit sum is 24, which is not divisible by 9.

5.Which number is divisible by 8?
  1. A10,864
  2. B90,542
  3. C93,665
  4. D41,558

Answer: 10,864

The last three digits make 864, which is divisible by 8.

6.Find the missing digit so that 2 (answer space)064 is divisible by 9.

Answer: 6

  1. The digit sum is 18, which is divisible by 9.

Only the digit 6 works.

7.12,493 is divisible by 3.

Answer: False

The digit sum is 19, which is not divisible by 3.

8.Which number is divisible by 4?
  1. A85,123
  2. B26,043
  3. C92,357
  4. D30,224

Answer: 30,224

The last two digits make 24, which is divisible by 4.

9.Find the missing digit so that 3341 (answer space) is divisible by 9.

Answer: 7

  1. The digit sum is 18, which is divisible by 9.

Only the digit 7 works.

10.23,396 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 23 (not a multiple of 3).

11.Which number is divisible by 6?
  1. A81,686
  2. B49,530
  3. C60,860
  4. D31,966

Answer: 49,530

It must divide by 2 and by 3: the last digit is 0 (even) and the digit sum is 21 (a multiple of 3).

12.Find the missing digit so that 460 (answer space)3 is divisible by 9.

Answer: 5

  1. The digit sum is 18, which is divisible by 9.

Only the digit 5 works.

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