Divisibility rules worksheet with numbers and check marks for divisibility by 2, 3, 4, 5, 6, 9, and 10.

To solve the problem, we need to use the divisibility rules for each number from 2 to 10 and determine whether each given number is divisible by those numbers. We will go through each number and apply the relevant divisibility rule.

Divisibility Rules:

- 2: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, 8).
- 3: A number is divisible by 3 if the sum of its digits is divisible by 3.
- 4: A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
- 5: A number is divisible by 5 if its last digit is 0 or 5.
- 6: A number is divisible by 6 if it is divisible by both 2 and 3.
- 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
- 10: A number is divisible by 10 if its last digit is 0.

Now, let's apply these rules to each number in the table.

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8
- 2: Last digit is 8 (even) → √
- 3: 8 → 8 not divisible by 3 →
- 4: 8 → 8 ÷ 4 = 2 → √
- 5: Last digit is 8 →
- 6: Not divisible by 3 →
- 9: 8 not divisible by 9 →
- 10: Last digit is 8 →

24
- 2: Last digit is 4 (even) → √
- 3: 2 + 4 = 6 → 6 ÷ 3 = 2 → √
- 4: 24 → 24 ÷ 4 = 6 → √
- 5: Last digit is 4 →
- 6: Divisible by 2 and 3 → √
- 9: 2 + 4 = 6 → 6 not divisible by 9 →
- 10: Last digit is 4 →

15
- 2: Last digit is 5 (odd) →
- 3: 1 + 5 = 6 → 6 ÷ 3 = 2 → √
- 4: 15 → 15 ÷ 4 = 3.75 →
- 5: Last digit is 5 → √
- 6: Not divisible by 2 →
- 9: 1 + 5 = 6 → 6 not divisible by 9 →
- 10: Last digit is 5 →

6
- 2: Last digit is 6 (even) → √
- 3: 6 ÷ 3 = 2 → √
- 4: 6 → 6 ÷ 4 = 1.5 →
- 5: Last digit is 6 →
- 6: Divisible by 2 and 3 → √
- 9: 6 not divisible by 9 →
- 10: Last digit is 6 →

4
- 2: Last digit is 4 (even) → √
- 3: 4 → 4 not divisible by 3 →
- 4: 4 ÷ 4 = 1 → √
- 5: Last digit is 4 →
- 6: Not divisible by 3 →
- 9: 4 not divisible by 9 →
- 10: Last digit is 4 →

5
- 2: Last digit is 5 (odd) →
- 3: 5 → 5 not divisible by 3 →
- 4: 5 → 5 ÷ 4 = 1.25 →
- 5: Last digit is 5 → √
- 6: Not divisible by 2 →
- 9: 5 not divisible by 9 →
- 10: Last digit is 5 →

33
- 2: Last digit is 3 (odd) →
- 3: 3 + 3 = 6 → 6 ÷ 3 = 2 → √
- 4: 33 → 33 ÷ 4 = 8.25 →
- 5: Last digit is 3 →
- 6: Not divisible by 2 →
- 9: 3 + 3 = 6 → 6 not divisible by 9 →
- 10: Last digit is 3 →

100
- 2: Last digit is 0 (even) → √
- 3: 1 + 0 + 0 = 1 → 1 not divisible by 3 →
- 4: 00 → 0 ÷ 4 = 0 → √
- 5: Last digit is 0 → √
- 6: Not divisible by 3 →
- 9: 1 + 0 + 0 = 1 → 1 not divisible by 9 →
- 10: Last digit is 0 → √

26
- 2: Last digit is 6 (even) → √
- 3: 2 + 6 = 8 → 8 not divisible by 3 →
- 4: 26 → 26 ÷ 4 = 6.5 →
- 5: Last digit is 6 →
- 6: Not divisible by 3 →
- 9: 2 + 6 = 8 → 8 not divisible by 9 →
- 10: Last digit is 6 →

45
- 2: Last digit is 5 (odd) →
- 3: 4 + 5 = 9 → 9 ÷ 3 = 3 → √
- 4: 45 → 45 ÷ 4 = 11.25 →
- 5: Last digit is 5 → √
- 6: Not divisible by 2 →
- 9: 4 + 5 = 9 → 9 ÷ 9 = 1 → √
- 10: Last digit is 5 →

127
- 2: Last digit is 7 (odd) →
- 3: 1 + 2 + 7 = 10 → 10 not divisible by 3 →
- 4: 27 → 27 ÷ 4 = 6.75 →
- 5: Last digit is 7 →
- 6: Not divisible by 2 or 3 →
- 9: 1 + 2 + 7 = 10 → 10 not divisible by 9 →
- 10: Last digit is 7 →

246
- 2: Last digit is 6 (even) → √
- 3: 2 + 4 + 6 = 12 → 12 ÷ 3 = 4 → √
- 4: 46 → 46 ÷ 4 = 11.5 →
- 5: Last digit is 6 →
- 6: Divisible by 2 and 3 → √
- 9: 2 + 4 + 6 = 12 → 12 not divisible by 9 →
- 10: Last digit is 6 →

1,254
- 2: Last digit is 4 (even) → √
- 3: 1 + 2 + 5 + 4 = 12 → 12 ÷ 3 = 4 → √
- 4: 54 → 54 ÷ 4 = 13.5 →
- 5: Last digit is 4 →
- 6: Divisible by 2 and 3 → √
- 9: 1 + 2 + 5 + 4 = 12 → 12 not divisible by 9 →
- 10: Last digit is 4 →

3000
- 2: Last digit is 0 (even) → √
- 3: 3 + 0 + 0 + 0 = 3 → 3 ÷ 3 = 1 → √
- 4: 00 → 0 ÷ 4 = 0 → √
- 5: Last digit is 0 → √
- 6: Divisible by 2 and 3 → √
- 9: 3 + 0 + 0 + 0 = 3 → 3 not divisible by 9 →
- 10: Last digit is 0 → √

369
- 2: Last digit is 9 (odd) →
- 3: 3 + 6 + 9 = 18 → 18 ÷ 3 = 6 → √
- 4: 69 → 69 ÷ 4 = 17.25 →
- 5: Last digit is 9 →
- 6: Not divisible by 2 →
- 9: 3 + 6 + 9 = 18 → 18 ÷ 9 = 2 → √
- 10: Last digit is 9 →

48
- 2: Last digit is 8 (even) → √
- 3: 4 + 8 = 12 → 12 ÷ 3 = 4 → √
- 4: 48 → 48 ÷ 4 = 12 → √
- 5: Last digit is 8 →
- 6: Divisible by 2 and 3 → √
- 9: 4 + 8 = 12 → 12 not divisible by 9 →
- 10: Last digit is 8 →

17
- 2: Last digit is 7 (odd) →
- 3: 1 + 7 = 8 → 8 not divisible by 3 →
- 4: 17 → 17 ÷ 4 = 4.25 →
- 5: Last digit is 7 →
- 6: Not divisible by 2 or 3 →
- 9: 1 + 7 = 8 → 8 not divisible by 9 →
- 10: Last digit is 7 →

123,482
- 2: Last digit is 2 (even) → √
- 3: 1 + 2 + 3 + 4 + 8 + 2 = 20 → 20 not divisible by 3 →
- 4: 82 → 82 ÷ 4 = 20.5 →
- 5: Last digit is 2 →
- 6: Not divisible by 3 →
- 9: 1 + 2 + 3 + 4 + 8 + 2 = 20 → 20 not divisible by 9 →
- 10: Last digit is 2 →

624
- 2: Last digit is 4 (even) → √
- 3: 6 + 2 + 4 = 12 → 12 ÷ 3 = 4 → √
- 4: 24 → 24 ÷ 4 = 6 → √
- 5: Last digit is 4 →
- 6: Divisible by 2 and 3 → √
- 9: 6 + 2 + 4 = 12 → 12 not divisible by 9 →
- 10: Last digit is 4 →

190
- 2: Last digit is 0 (even) → √
- 3: 1 + 9 + 0 = 10 → 10 not divisible by 3 →
- 4: 90 → 90 ÷ 4 = 22.5 →
- 5: Last digit is 0 → √
- 6: Not divisible by 3 →
- 9: 1 + 9 + 0 = 10 → 10 not divisible by 9 →
- 10: Last digit is 0 → √

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Now, we fill in the table with the check marks:

| Is it divisible by... | 2 | 3 | 4 | 5 | 6 | 9 | 10 |
|-----------------------|---|---|---|---|---|---|----|
| 8 | √ | | √ | | | | |
| 24 | √ | √ | √ | | √ | | |
| 15 | | √ | | √ | | | |
| 6 | √ | √ | | | √ | | |
| 4 | √ | | √ | | | | |
| 5 | | | | √ | | | |
| 33 | | √ | | | | | |
| 100 | √ | | √ | √ | | | √ |
| 26 | √ | | | | | | |
| 45 | | √ | | √ | | √ | |
| 127 | | | | | | | |
| 246 | √ | √ | | | √ | | |
| 1,254 | √ | √ | | | √ | | |
| 3000 | √ | √ | √ | √ | √ | | √ |
| 369 | | √ | | | | √ | |
| 48 | √ | √ | √ | | √ | | |
| 17 | | | | | | | |
| 123,482 | √ | | | | | | |
| 624 | √ | √ | √ | | √ | | |
| 190 | √ | | | √ | | | √ |