Divisibility Rule for 3 Worksheets - Free Printable

To determine whether a number is divisible by 3, we use the Divisibility Rule for 3:

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

We’ll apply this rule to each number.

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1) 351

Digits: 3 + 5 + 1 = 9 → 9 ÷ 3 = 3 → ✔ Yes

2) 63,347

Digits: 6 + 3 + 3 + 4 + 7 = 23 → 23 ÷ 3 = 7.666… → ✘ No

3) 4,567

Digits: 4 + 5 + 6 + 7 = 22 → 22 ÷ 3 = 7.333… → ✘ No

4) 9,132

Digits: 9 + 1 + 3 + 2 = 15 → 15 ÷ 3 = 5 → ✔ Yes

5) 36,696

Digits: 3 + 6 + 6 + 9 + 6 = 30 → 30 ÷ 3 = 10 → ✔ Yes

6) 84

Digits: 8 + 4 = 12 → 12 ÷ 3 = 4 → ✔ Yes

7) 98

Digits: 9 + 8 = 17 → 17 ÷ 3 = 5.666… → ✘ No

8) 7,901

Digits: 7 + 9 + 0 + 1 = 17 → 17 ÷ 3 = 5.666… → ✘ No

9) 25,788

Digits: 2 + 5 + 7 + 8 + 8 = 30 → 30 ÷ 3 = 10 → ✔ Yes

10) 3,735

Digits: 3 + 7 + 3 + 5 = 18 → 18 ÷ 3 = 6 → ✔ Yes

11) 6,202

Digits: 6 + 2 + 0 + 2 = 10 → 10 ÷ 3 = 3.333… → ✘ No

12) 56

Digits: 5 + 6 = 11 → 11 ÷ 3 = 3.666… → ✘ No

13) 73,458

Digits: 7 + 3 + 4 + 5 + 8 = 27 → 27 ÷ 3 = 9 → ✔ Yes

14) 648

Digits: 6 + 4 + 8 = 18 → 18 ÷ 3 = 6 → ✔ Yes

15) 84,679

Digits: 8 + 4 + 6 + 7 + 9 = 34 → 34 ÷ 3 = 11.333… → ✘ No

16) 42,783

Digits: 4 + 2 + 7 + 8 + 3 = 24 → 24 ÷ 3 = 8 → ✔ Yes

17) 819

Digits: 8 + 1 + 9 = 18 → 18 ÷ 3 = 6 → ✔ Yes

18) 16,789

Digits: 1 + 6 + 7 + 8 + 9 = 31 → 31 ÷ 3 = 10.333… → ✘ 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

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📌 Tip: If you ever get a large digit sum (like 30 or 27), you can even sum those digits again! For example, 30 → 3+0=3, which is divisible by 3 — same result. This is called “casting out nines” and helps with very large numbers.

Let me know if you’d like to see the work written out for any specific one!