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Year 8 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — 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 — Practice Set 4 — Answers

Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.

1.62,114 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 14 (not a multiple of 3).

2.Which number is divisible by 6?
  1. A44,286
  2. B65,725
  3. C76,324
  4. D24,985

Answer: 44,286

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 24 (a multiple of 3).

3.Find the missing digit so that 4755 (answer space) is divisible by 9.

Answer: 6

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

Only the digit 6 works.

4.64,968 is divisible by 3.

Answer: True

The digit sum is 33, which is divisible by 3.

5.Which number is divisible by 4?
  1. A34,982
  2. B43,161
  3. C79,713
  4. D32,348

Answer: 32,348

The last two digits make 48, which is divisible by 4.

6.Find the missing digit so that 931 (answer space)1 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

7.58,095 is divisible by 8.

Answer: False

The last three digits make 95, which is not divisible by 8.

8.Which number is divisible by 8?
  1. A10,312
  2. B40,775
  3. C32,105
  4. D39,565

Answer: 10,312

The last three digits make 312, which is divisible by 8.

9.Find the missing digit so that 9 (answer space)024 is divisible by 9.

Answer: 3

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

Only the digit 3 works.

10.23,342 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 14 (not a multiple of 3).

11.Which number is divisible by 3?
  1. A35,493
  2. B84,842
  3. C55,736
  4. D78,160

Answer: 35,493

The digit sum is 24, which is divisible by 3.

12.Find the missing digit so that 914 (answer space) is divisible by 9.

Answer: 4

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

Only the digit 4 works.

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