Worksheet on Divisibility Rules | Questions on Test of Divisibility - Free Printable

We are given a table with numbers in the "Numbers" column and we need to determine whether each number is divisible by 2, 3, 4, 5, 9, or 10. We will fill in the table with ✓ (checkmark) if the number is divisible by that divisor, and leave it blank otherwise.

Let’s go through each number one by one and apply divisibility rules.

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Divisibility Rules:

- 2: Number ends in an even digit (0, 2, 4, 6, 8).
- 3: Sum of digits is divisible by 3.
- 4: Last two digits form a number divisible by 4.
- 5: Ends in 0 or 5.
- 9: Sum of digits is divisible by 9.
- 10: Ends in 0.

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(i) 10

- Divisible by 2? → Yes (ends in 0) → ✓
- Divisible by 3? → Sum = 1+0 = 1 → Not divisible by 3 → ✗
- Divisible by 4? → Last two digits = 10 → 10 ÷ 4 = 2.5 → Not divisible → ✗
- Divisible by 5? → Ends in 0 → ✓
- Divisible by 9? → Sum = 1 → Not divisible by 9 → ✗
- Divisible by 10? → Ends in 0 → ✓

✔ Result: 2: ✓, 3: ✗, 4: ✗, 5: ✓, 9: ✗, 10: ✓

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(ii) 27

- Divisible by 2? → Ends in 7 → Odd → ✗
- Divisible by 3? → Sum = 2+7 = 9 → 9 ÷ 3 = 3 → ✓
- Divisible by 4? → Last two digits = 27 → 27 ÷ 4 = 6.75 → ✗
- Divisible by 5? → Ends in 7 → ✗
- Divisible by 9? → Sum = 9 → 9 ÷ 9 = 1 → ✓
- Divisible by 10? → Doesn't end in 0 → ✗

✔ Result: 2: ✗, 3: ✓, 4: ✗, 5: ✗, 9: ✓, 10: ✗

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(iii) 30

- Divisible by 2? → Ends in 0 → ✓
- Divisible by 3? → Sum = 3+0 = 3 → ✓
- Divisible by 4? → Last two digits = 30 → 30 ÷ 4 = 7.5 → ✗
- Divisible by 5? → Ends in 0 → ✓
- Divisible by 9? → Sum = 3 → Not divisible by 9 → ✗
- Divisible by 10? → Ends in 0 → ✓

✔ Result: 2: ✓, 3: ✓, 4: ✗, 5: ✓, 9: ✗, 10: ✓

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(iv) 124

- Divisible by 2? → Ends in 4 → Even → ✓
- Divisible by 3? → Sum = 1+2+4 = 7 → Not divisible by 3 → ✗
- Divisible by 4? → Last two digits = 24 → 24 ÷ 4 = 6 → ✓
- Divisible by 5? → Ends in 4 → ✗
- Divisible by 9? → Sum = 7 → ✗
- Divisible by 10? → Ends in 4 → ✗

✔ Result: 2: ✓, 3: ✗, 4: ✓, 5: ✗, 9: ✗, 10: ✗

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(v) 325

- Divisible by 2? → Ends in 5 → Odd → ✗
- Divisible by 3? → Sum = 3+2+5 = 10 → Not divisible by 3 → ✗
- Divisible by 4? → Last two digits = 25 → 25 ÷ 4 = 6.25 → ✗
- Divisible by 5? → Ends in 5 → ✓
- Divisible by 9? → Sum = 10 → Not divisible by 9 → ✗
- Divisible by 10? → Ends in 5 → ✗

✔ Result: 2: ✗, 3: ✗, 4: ✗, 5: ✓, 9: ✗, 10: ✗

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(vi) 282

- Divisible by 2? → Ends in 2 → Even → ✓
- Divisible by 3? → Sum = 2+8+2 = 12 → 12 ÷ 3 = 4 → ✓
- Divisible by 4? → Last two digits = 82 → 82 ÷ 4 = 20.5 → ✗
- Divisible by 5? → Ends in 2 → ✗
- Divisible by 9? → Sum = 12 → Not divisible by 9 → ✗
- Divisible by 10? → Ends in 2 → ✗

✔ Result: 2: ✓, 3: ✓, 4: ✗, 5: ✗, 9: ✗, 10: ✗

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✔ Final Filled Table:

| S.No | Numbers | 2 | 3 | 4 | 5 | 9 | 10 |
|------|--------|---|---|---|---|---|----|
| (i) | 10 | ✓ | ✗ | ✗ | ✓ | ✗ | ✓ |
| (ii) | 27 | ✗ | ✓ | ✗ | ✗ | ✓ | ✗ |
| (iii)| 30 | ✓ | ✓ | ✗ | ✓ | ✗ | ✓ |
| (iv) | 124 | ✓ | ✗ | ✓ | ✗ | ✗ | ✗ |
| (v) | 325 | ✗ | ✗ | ✗ | ✓ | ✗ | ✗ |
| (vi) | 282 | ✓ | ✓ | ✗ | ✗ | ✗ | ✗ |

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🟩 Summary:

This table shows which divisors (2, 3, 4, 5, 9, 10) divide each given number based on standard divisibility rules. Each checkmark indicates divisibility.

Let me know if you'd like this in a printable format or need explanations for any specific rule!