Divisibility Rules Worksheets - 15 Worksheets Library - Free Printable

Let’s solve this step by step. We’re going to go through each section and circle the numbers that are divisible by 2, then 3, then 4, then 5 — using simple rules for each.

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Divisible by 2?
Rule: A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8 (even numbers).

Look at each number:

- 1024 → ends in 4 → ✔
- 3265 → ends in 5 → ✘
- 364 → ends in 4 → ✔
- 2482 → ends in 2 → ✔
- 908 → ends in 8 → ✔
- 147 → ends in 7 → ✘
- 108 → ends in 8 → ✔
- 1478 → ends in 8 → ✔
- 272 → ends in 2 → ✔
- 18 → ends in 8 → ✔
- 27 → ends in 7 → ✘
- 326 → ends in 6 → ✔
- 59 → ends in 9 → ✘
- 102 → ends in 2 → ✔
- 4824 → ends in 4 → ✔
- 362 → ends in 2 → ✔
- 54 → ends in 4 → ✔
- 242 → ends in 2 → ✔
- 125 → ends in 5 → ✘
- 248 → ends in 8 → ✔
- 3102 → ends in 2 → ✔
- 124 → ends in 4 → ✔
- 163 → ends in 3 → ✘
- 1093 → ends in 3 → ✘

✔ Numbers divisible by 2:
1024, 364, 2482, 908, 108, 1478, 272, 18, 326, 102, 4824, 362, 54, 242, 248, 3102, 124

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Divisible by 3?
Rule: Add up all the digits. If the sum is divisible by 3, then the number is too.

Check each:

- 1236 → 1+2+3+6 = 12 → 12÷3=4 → ✔
- 2406 → 2+4+0+6 = 12 → ✔
- 5312 → 5+3+1+2 = 11 → ✘
- 54 → 5+4 = 9 → ✔
- 5431 → 5+4+3+1 = 13 → ✘
- 1024 → 1+0+2+4 = 7 → ✘
- 1083 → 1+0+8+3 = 12 → ✔
- 109 → 1+0+9 = 10 → ✘
- 4725 → 4+7+2+5 = 18 → ✔
- 309 → 3+0+9 = 12 → ✔
- 2475 → 2+4+7+5 = 18 → ✔
- 789 → 7+8+9 = 24 → ✔
- 58 → 5+8 = 13 → ✘
- 2475 → already did → ✔
- 1029 → 1+0+2+9 = 12 → ✔
- 1243 → 1+2+4+3 = 10 → ✘
- 1096 → 1+0+9+6 = 16 → ✘
- 632 → 6+3+2 = 11 → ✘
- 105 → 1+0+5 = 6 → ✔
- 4782 → 4+7+8+2 = 21 → ✔
- 2403 → 2+4+0+3 = 9 → ✔
- 983 → 9+8+3 = 20 → ✘
- 3124 → 3+1+2+4 = 10 → ✘
- 8701 → 8+7+0+1 = 16 → ✘

✔ Numbers divisible by 3:
1236, 2406, 54, 1083, 4725, 309, 2475, 789, 1029, 105, 4782, 2403

*(Note: 2475 appears twice — we list it once)*

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Divisible by 4?
Rule: Look at the last two digits. If those two digits form a number divisible by 4, then the whole number is.

Check each:

- 2048 → last two: 48 → 48÷4=12 → ✔
- 108 → 08 → 8÷4=2 → ✔
- 3254 → 54 → 54÷4=13.5 → ✘
- 1436 → 36 → 36÷4=9 → ✔
- 2489 → 89 → 89÷4=22.25 → ✘
- 548 → 48 → ✔
- 96 → 96÷4=24 → ✔
- 512 → 12 → 12÷4=3 → ✔
- 1368 → 68 → 68÷4=17 → ✔
- 2478 → 78 → 78÷4=19.5 → ✘
- 3690 → 90 → 90÷4=22.5 → ✘
- 4584 → 84 → 84÷4=21 → ✔
- 2785 → 85 → 85÷4=21.25 → ✘
- 6330 → 30 → 30÷4=7.5 → ✘
- 3580 → 80 → 80÷4=20 → ✔
- 196 → 96 → ✔
- 312 → 12 → ✔
- 84 → 84÷4=21 → ✔
- 4720 → 20 → 20÷4=5 → ✔
- 1236 → 36 → ✔
- 2740 → 40 → ✔
- 3648 → 48 → ✔
- 5488 → 88 → 88÷4=22 → ✔
- 3624 → 24 → ✔

✔ Numbers divisible by 4:
2048, 108, 1436, 548, 96, 512, 1368, 4584, 3580, 196, 312, 84, 4720, 1236, 2740, 3648, 5488, 3624

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Divisible by 5?
Rule: Ends in 0 or 5.

Check each:

- 105 → ends in 5 → ✔
- 2485 → ends in 5 → ✔
- 120 → ends in 0 → ✔
- 3654 → ends in 4 → ✘
- 148 → ends in 8 → ✘
- 369 → ends in 9 → ✘
- 1485 → ends in 5 → ✔
- 2475 → ends in 5 → ✔
- 203 → ends in 3 → ✘
- 470 → ends in 0 → ✔
- 3475 → ends in 5 → ✔
- 620 → ends in 0 → ✔
- 95 → ends in 5 → ✔
- 780 → ends in 0 → ✔
- 4731 → ends in 1 → ✘
- 5745 → ends in 5 → ✔
- 4284 → ends in 4 → ✘
- 325 → ends in 5 → ✔
- 985 → ends in 5 → ✔
- 2539 → ends in 9 → ✘
- 1250 → ends in 0 → ✔
- 4725 → ends in 5 → ✔
- 3525 → ends in 5 → ✔
- 6251 → ends in 1 → ✘

✔ Numbers divisible by 5:
105, 2485, 120, 1485, 2475, 470, 3475, 620, 95, 780, 5745, 325, 985, 1250, 4725, 3525

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Final Answer:

Divisible by 2:
1024, 364, 2482, 908, 108, 1478, 272, 18, 326, 102, 4824, 362, 54, 242, 248, 3102, 124

Divisible by 3:
1236, 2406, 54, 1083, 4725, 309, 2475, 789, 1029, 105, 4782, 2403

Divisible by 4:
2048, 108, 1436, 548, 96, 512, 1368, 4584, 3580, 196, 312, 84, 4720, 1236, 2740, 3648, 5488, 3624

Divisible by 5:
105, 2485, 120, 1485, 2475, 470, 3475, 620, 95, 780, 5745, 325, 985, 1250, 4725, 3525