Divisibility Rule for 3 worksheet for math practice.

To solve the problem, we need to determine whether each given number is divisible by 3. The Divisibility Rule for 3 states:

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

Let's apply this rule to each number step by step.

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1) 351

- Sum of the digits: \( 3 + 5 + 1 = 9 \)
- Since 9 is divisible by 3, 351 is divisible by 3.
- Answer: Yes

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2) 63,347

- Sum of the digits: \( 6 + 3 + 3 + 4 + 7 = 23 \)
- Since 23 is not divisible by 3, 63,347 is not divisible by 3.
- Answer: No

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3) 4,567

- Sum of the digits: \( 4 + 5 + 6 + 7 = 22 \)
- Since 22 is not divisible by 3, 4,567 is not divisible by 3.
- Answer: No

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4) 9,132

- Sum of the digits: \( 9 + 1 + 3 + 2 = 15 \)
- Since 15 is divisible by 3, 9,132 is divisible by 3.
- Answer: Yes

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5) 36,696

- Sum of the digits: \( 3 + 6 + 6 + 9 + 6 = 30 \)
- Since 30 is divisible by 3, 36,696 is divisible by 3.
- Answer: Yes

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6) 84

- Sum of the digits: \( 8 + 4 = 12 \)
- Since 12 is divisible by 3, 84 is divisible by 3.
- Answer: Yes

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7) 98

- Sum of the digits: \( 9 + 8 = 17 \)
- Since 17 is not divisible by 3, 98 is not divisible by 3.
- Answer: No

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8) 7,901

- Sum of the digits: \( 7 + 9 + 0 + 1 = 17 \)
- Since 17 is not divisible by 3, 7,901 is not divisible by 3.
- Answer: No

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9) 25,788

- Sum of the digits: \( 2 + 5 + 7 + 8 + 8 = 30 \)
- Since 30 is divisible by 3, 25,788 is divisible by 3.
- Answer: Yes

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10) 3,735

- Sum of the digits: \( 3 + 7 + 3 + 5 = 18 \)
- Since 18 is divisible by 3, 3,735 is divisible by 3.
- Answer: Yes

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11) 6,202

- Sum of the digits: \( 6 + 2 + 0 + 2 = 10 \)
- Since 10 is not divisible by 3, 6,202 is not divisible by 3.
- Answer: No

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12) 56

- Sum of the digits: \( 5 + 6 = 11 \)
- Since 11 is not divisible by 3, 56 is not divisible by 3.
- Answer: No

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13) 73,458

- Sum of the digits: \( 7 + 3 + 4 + 5 + 8 = 27 \)
- Since 27 is divisible by 3, 73,458 is divisible by 3.
- Answer: Yes

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14) 648

- Sum of the digits: \( 6 + 4 + 8 = 18 \)
- Since 18 is divisible by 3, 648 is divisible by 3.
- Answer: Yes

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15) 84,679

- Sum of the digits: \( 8 + 4 + 6 + 7 + 9 = 34 \)
- Since 34 is not divisible by 3, 84,679 is not divisible by 3.
- Answer: No

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16) 42,783

- Sum of the digits: \( 4 + 2 + 7 + 8 + 3 = 24 \)
- Since 24 is divisible by 3, 42,783 is divisible by 3.
- Answer: Yes

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17) 819

- Sum of the digits: \( 8 + 1 + 9 = 18 \)
- Since 18 is divisible by 3, 819 is divisible by 3.
- Answer: Yes

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18) 16,789

- Sum of the digits: \( 1 + 6 + 7 + 8 + 9 = 31 \)
- Since 31 is not divisible by 3, 16,789 is not divisible by 3.
- Answer: No

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Final Answers:

1. Yes
2. No
3. No
4. Yes
5. Yes
6. Yes
7. No
8. No
9. Yes
10. Yes
11. No
12. No
13. Yes
14. Yes
15. No
16. Yes
17. Yes
18. No

$$
\boxed{\text{Yes, No, No, Yes, Yes, Yes, No, No, Yes, Yes, No, No, Yes, Yes, No, Yes, Yes, No}}
$$