4 Divisibility Rules Every Student Should Master with FREEBIES ... - Free Printable

Let’s solve each question on the worksheet using divisibility rules. I’ll explain each rule and apply it to the given number.

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🔢 Divisibility by 2:

> A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).

- Is 83 divisible by 2?
- Last digit: 3 → odd → ✘ No

- Is 34 divisible by 2?
- Last digit: 4 → even → ✔ Yes

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🧮 Divisibility by 3:

> A number is divisible by 3 if the sum of its digits is divisible by 3.

- Is 72 divisible by 3?
- 7 + 2 = 9 → 9 ÷ 3 = 3 → ✔ Yes

- Is 53 divisible by 3?
- 5 + 3 = 8 → 8 ÷ 3 = 2 remainder 2 → ✘ No

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⚖️ Divisibility by 6:

> A number is divisible by 6 if it is divisible by both 2 AND 3.

- Is 92 divisible by 6?
- Divisible by 2? → Last digit 2 → ✔ Yes
- Divisible by 3? → 9 + 2 = 11 → 11 not divisible by 3 → ✘ No
- So, overall → ✘ No

- Is 84 divisible by 6?
- Divisible by 2? → Last digit 4 → ✔ Yes
- Divisible by 3? → 8 + 4 = 12 → 12 ÷ 3 = 4 → ✔ Yes
- So, overall → ✔ Yes

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🎯 Divisibility by 9:

> A number is divisible by 9 if the sum of its digits is divisible by 9.

- Is 153 divisible by 9?
- 1 + 5 + 3 = 9 → 9 ÷ 9 = 1 → ✔ Yes

- Is 117 divisible by 9?
- 1 + 1 + 7 = 9 → 9 ÷ 9 = 1 → ✔ Yes

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## ✔ Final Answers:

| Question | Answer |
|---------------------------|--------|
| Is 83 divisible by 2? | no |
| Is 34 divisible by 2? | yes |
| Is 72 divisible by 3? | yes |
| Is 53 divisible by 3? | no |
| Is 92 divisible by 6? | no |
| Is 84 divisible by 6? | yes |
| Is 153 divisible by 9? | yes |
| Is 117 divisible by 9? | yes |

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✔ All answers are now filled correctly using standard divisibility rules!