Divisibility Rule worksheet for students to practice determining if numbers are divisible by 2, 3, 4, 5, 6, 8, 9, and 10.

Sure! Let’s solve this Divisibility Rule worksheet step by step.

The goal is to determine whether each given number is divisible by the listed divisors (2, 3, 4, 5, 6, 8, 9, 10) and write “Yes” or “No” accordingly.

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📌 Quick Review of Divisibility Rules:

- By 2: Last digit is even (0, 2, 4, 6, 8)
- By 3: Sum of digits is divisible by 3
- By 4: Last two digits form a number divisible by 4
- By 5: Last digit is 0 or 5
- By 6: Divisible by both 2 and 3
- By 8: Last three digits form a number divisible by 8
- By 9: Sum of digits is divisible by 9
- By 10: Last digit is 0

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## ✔ Let’s go number by number:

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🔢 120

- by 2 → Yes (ends in 0)
- by 3 → Yes (1+2+0=3 → divisible by 3)
- by 5 → Yes (ends in 0)
- by 6 → Yes (div by 2 and 3)
- by 9 → No (1+2+0=3 → not div by 9)

✔ Final:
by 2: Yes
by 3: Yes
by 5: Yes
by 6: Yes
by 9: No

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🔢 360

- by 3 → Yes (3+6+0=9 → div by 3)
- by 5 → Yes (ends in 0)
- by 6 → Yes (div by 2 and 3 — ends in 0 → even)
- by 8 → Yes (360 ÷ 8 = 45 → exact)
- by 10 → Yes (ends in 0)

✔ Final:
by 3: Yes
by 5: Yes
by 6: Yes
by 8: Yes
by 10: Yes

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🔢 520

- by 4 → Yes (last two digits: 20 → 20÷4=5)
- by 5 → Yes (ends in 0)
- by 6 → No (div by 2? Yes. Div by 3? 5+2+0=7 → no → so not by 6)
- by 9 → No (5+2+0=7 → not div by 9)
- by 10 → Yes (ends in 0)

✔ Final:
by 4: Yes
by 5: Yes
by 6: No
by 9: No
by 10: Yes

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🔢 1200

- by 5 → Yes (ends in 0)
- by 6 → Yes (even + sum=1+2+0+0=3 → div by 3 → so div by 6)
- by 8 → Yes (last three digits: 200 → 200÷8=25)
- by 9 → No (sum=3 → not div by 9)
- by 10 → Yes (ends in 0)

✔ Final:
by 5: Yes
by 6: Yes
by 8: Yes
by 9: No
by 10: Yes

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🔢 1680

- by 2 → Yes (ends in 0)
- by 4 → Yes (last two digits: 80 → 80÷4=20)
- by 5 → Yes (ends in 0)
- by 6 → Yes (even + sum=1+6+8+0=15 → div by 3 → so div by 6)
- by 8 → Yes (last three: 680 → 680÷8=85)

✔ Final:
by 2: Yes
by 4: Yes
by 5: Yes
by 6: Yes
by 8: Yes

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🔢 2480

- by 2 → Yes (ends in 0)
- by 3 → No (2+4+8+0=14 → not div by 3)
- by 4 → Yes (last two: 80 → 80÷4=20)
- by 9 → No (sum=14 → not div by 9)
- by 10 → Yes (ends in 0)

✔ Final:
by 2: Yes
by 3: No
by 4: Yes
by 9: No
by 10: Yes

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🔢 3120

- by 5 → Yes (ends in 0)
- by 6 → Yes (even + sum=3+1+2+0=6 → div by 3 → so div by 6)
- by 8 → Yes (last three: 120 → 120÷8=15)
- by 9 → No (sum=6 → not div by 9)
- by 10 → Yes (ends in 0)

✔ Final:
by 5: Yes
by 6: Yes
by 8: Yes
by 9: No
by 10: Yes

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🔢 4028

- by 3 → No (4+0+2+8=14 → not div by 3)
- by 4 → Yes (last two: 28 → 28÷4=7)
- by 5 → No (doesn’t end in 0 or 5)
- by 6 → No (not div by 3 → so not by 6)
- by 8 → No (last three: 028 → 28 → 28÷8=3.5 → not whole)

✔ Final:
by 3: No
by 4: Yes
by 5: No
by 6: No
by 8: No

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🔢 5400

- by 4 → Yes (last two: 00 → 0÷4=0)
- by 5 → Yes (ends in 0)
- by 6 → Yes (even + sum=5+4+0+0=9 → div by 3 → so div by 6)
- by 8 → Yes (last three: 400 → 400÷8=50)
- by 9 → Yes (sum=9 → div by 9)

✔ Final:
by 4: Yes
by 5: Yes
by 6: Yes
by 8: Yes
by 9: Yes

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## ✔ Final Answers (Fill in the worksheet):

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First Row:

120
by 2: Yes
by 3: Yes
by 5: Yes
by 6: Yes
by 9: No

360
by 3: Yes
by 5: Yes
by 6: Yes
by 8: Yes
by 10: Yes

520
by 4: Yes
by 5: Yes
by 6: No
by 9: No
by 10: Yes

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Second Row:

1200
by 5: Yes
by 6: Yes
by 8: Yes
by 9: No
by 10: Yes

1680
by 2: Yes
by 4: Yes
by 5: Yes
by 6: Yes
by 8: Yes

2480
by 2: Yes
by 3: No
by 4: Yes
by 9: No
by 10: Yes

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Third Row:

3120
by 5: Yes
by 6: Yes
by 8: Yes
by 9: No
by 10: Yes

4028
by 3: No
by 4: Yes
by 5: No
by 6: No
by 8: No

5400
by 4: Yes
by 5: Yes
by 6: Yes
by 8: Yes
by 9: Yes

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✔ You can now fill in the worksheet with these answers!

Let me know if you want a printable version or explanation for any specific rule.