Divisibility Rules 2 3 5 10 worksheet - Free Printable

Let's solve this step by step using the divisibility rules for 2, 3, 5, and 10.

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🔹 Divisibility Rules:

- By 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8).
- By 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- By 5: A number is divisible by 5 if its last digit is 0 or 5.
- By 10: A number is divisible by 10 if its last digit is 0.

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We’ll go through each number one by one.

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a. 1620

- by 2: Last digit = 0 → even → ✔ Yes
- by 3: Sum = 1 + 6 + 2 + 0 = 9 → 9 ÷ 3 = 3 → ✔ Yes
- by 5: Last digit = 0 → ✔ Yes
- by 10: Last digit = 0 → ✔ Yes

✔ Yes, Yes, Yes, Yes

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b. 42

- by 2: Last digit = 2 → even → ✔ Yes
- by 3: Sum = 4 + 2 = 6 → 6 ÷ 3 = 2 → ✔ Yes
- by 5: Last digit = 2 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ Yes, Yes, No, No

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c. 65483

- by 2: Last digit = 3 → odd → ✘ No
- by 3: Sum = 6 + 5 + 4 + 8 + 3 = 26 → 26 ÷ 3 = 8.66… → not divisible → ✘ No
- by 5: Last digit = 3 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✘ No, No, No, No

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d. 1680

- by 2: Last digit = 0 → even → ✔ Yes
- by 3: Sum = 1 + 6 + 8 + 0 = 15 → 15 ÷ 3 = 5 → ✔ Yes
- by 5: Last digit = 0 → ✔ Yes
- by 10: Last digit = 0 → ✔ Yes

✔ Yes, Yes, Yes, Yes

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e. 224

- by 2: Last digit = 4 → even → ✔ Yes
- by 3: Sum = 2 + 2 + 4 = 8 → 8 ÷ 3 = 2.66… → ✘ No
- by 5: Last digit = 4 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ Yes, No, No, No

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f. 53418

- by 2: Last digit = 8 → even → ✔ Yes
- by 3: Sum = 5 + 3 + 4 + 1 + 8 = 21 → 21 ÷ 3 = 7 → ✔ Yes
- by 5: Last digit = 8 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ Yes, Yes, No, No

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g. 75

- by 2: Last digit = 5 → odd → ✘ No
- by 3: Sum = 7 + 5 = 12 → 12 ÷ 3 = 4 → ✔ Yes
- by 5: Last digit = 5 → ✔ Yes
- by 10: Last digit ≠ 0 → ✘ No

✔ No, Yes, Yes, No

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h. 651

- by 2: Last digit = 1 → odd → ✘ No
- by 3: Sum = 6 + 5 + 1 = 12 → 12 ÷ 3 = 4 → ✔ Yes
- by 5: Last digit = 1 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ No, Yes, No, No

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i. 9984

- by 2: Last digit = 4 → even → ✔ Yes
- by 3: Sum = 9 + 9 + 8 + 4 = 30 → 30 ÷ 3 = 10 → ✔ Yes
- by 5: Last digit = 4 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ Yes, Yes, No, No

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j. 68536

- by 2: Last digit = 6 → even → ✔ Yes
- by 3: Sum = 6 + 8 + 5 + 3 + 6 = 28 → 28 ÷ 3 = 9.33… → ✘ No
- by 5: Last digit = 6 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ Yes, No, No, No

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k. 519

- by 2: Last digit = 9 → odd → ✘ No
- by 3: Sum = 5 + 1 + 9 = 15 → 15 ÷ 3 = 5 → ✔ Yes
- by 5: Last digit = 9 → not 0 or 5 → ✘ No
- by 10: Last digit ≠ 0 → ✘ No

✔ No, Yes, No, No

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l. 9410

- by 2: Last digit = 0 → even → ✔ Yes
- by 3: Sum = 9 + 4 + 1 + 0 = 14 → 14 ÷ 3 = 4.66… → ✘ No
- by 5: Last digit = 0 → ✔ Yes
- by 10: Last digit = 0 → ✔ Yes

✔ Yes, No, Yes, Yes

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✔ Final Answers:

| Letter | Number | by 2 | by 3 | by 5 | by 10 |
|--------|---------|------|------|------|-------|
| a | 1620 | Yes | Yes | Yes | Yes |
| b | 42 | Yes | Yes | No | No |
| c | 65483 | No | No | No | No |
| d | 1680 | Yes | Yes | Yes | Yes |
| e | 224 | Yes | No | No | No |
| f | 53418 | Yes | Yes | No | No |
| g | 75 | No | Yes | Yes | No |
| h | 651 | No | Yes | No | No |
| i | 9984 | Yes | Yes | No | No |
| j | 68536 | Yes | No | No | No |
| k | 519 | No | Yes | No | No |
| l | 9410 | Yes | No | Yes | Yes |

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