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.
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We’ll go through each number one by one, add its digits, and check if that sum is divisible by 3.
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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: You can also reduce the digit sum modulo 3 as you go — if the running total ever hits a multiple of 3 (like 0, 3, 6, 9, etc.), you can reset to 0 and keep going. This helps with very large numbers!
Let me know if you’d like a printable version or explanation with examples!
Parent Tip: Review the logic above to help your child master the concept of divisibility worksheet.
