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Year 8 Divisibility Rules Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Factors, Multiples & Primes

Year 8 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.

1.2,198 is divisible by 4.

Answer: False

The last two digits make 98, which is not divisible by 4.

2.Which number is divisible by 8?
  1. A61,077
  2. B79,865
  3. C35,528
  4. D99,783

Answer: 35,528

The last three digits make 528, which is divisible by 8.

3.Find the missing digit so that 675 (answer space)8 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

4.80,082 is divisible by 8.

Answer: False

The last three digits make 82, which is not divisible by 8.

5.Which number is divisible by 4?
  1. A27,337
  2. B46,672
  3. C66,258
  4. D32,593

Answer: 46,672

The last two digits make 72, which is divisible by 4.

6.Find the missing digit so that 2 (answer space)370 is divisible by 9.

Answer: 6

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

Only the digit 6 works.

7.20,854 is divisible by 3.

Answer: False

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

8.Which number is divisible by 6?
  1. A28,367
  2. B11,814
  3. C88,868
  4. D45,808

Answer: 11,814

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 15 (a multiple of 3).

9.Find the missing digit so that 699 (answer space)8 is divisible by 9.

Answer: 4

  1. The digit sum is 36, which is divisible by 9.

Only the digit 4 works.

10.60,224 is divisible by 8.

Answer: True

The last three digits make 224, which is divisible by 8.

11.Which number is divisible by 8?
  1. A59,965
  2. B70,488
  3. C13,039
  4. D70,577

Answer: 70,488

The last three digits make 488, which is divisible by 8.

12.Find the missing digit so that 84 (answer space)50 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

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