To solve this problem, we will use the
Divisibility Rule for 3:
> A number is divisible by 3
if the sum of its digits is divisible by 3.
We'll go through each number, add up its digits, and check whether the sum is divisible by 3. If yes, then the number is divisible by 3; otherwise, it's not.
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Step-by-step solutions:
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1)
351
Sum: 3 + 5 + 1 =
9 → 9 ÷ 3 = 3 → divisible
✔ Yes
2)
63,347
Sum: 6 + 3 + 3 + 4 + 7 =
23 → 23 ÷ 3 = 7.66… → not divisible
✘ No
3)
4,567
Sum: 4 + 5 + 6 + 7 =
22 → 22 ÷ 3 ≈ 7.33 → not divisible
✘ No
4)
9,132
Sum: 9 + 1 + 3 + 2 =
15 → 15 ÷ 3 = 5 → divisible
✔ Yes
5)
36,696
Sum: 3 + 6 + 6 + 9 + 6 =
30 → 30 ÷ 3 = 10 → divisible
✔ Yes
6)
84
Sum: 8 + 4 =
12 → 12 ÷ 3 = 4 → divisible
✔ Yes
7)
98
Sum: 9 + 8 =
17 → 17 ÷ 3 ≈ 5.67 → not divisible
✘ No
8)
7,901
Sum: 7 + 9 + 0 + 1 =
17 → not divisible by 3
✘ No
9)
25,788
Sum: 2 + 5 + 7 + 8 + 8 =
30 → 30 ÷ 3 = 10 → divisible
✔ Yes
10)
3,735
Sum: 3 + 7 + 3 + 5 =
18 → 18 ÷ 3 = 6 → divisible
✔ Yes
11)
6,202
Sum: 6 + 2 + 0 + 2 =
10 → not divisible by 3
✘ No
12)
56
Sum: 5 + 6 =
11 → not divisible by 3
✘ No
13)
73,458
Sum: 7 + 3 + 4 + 5 + 8 =
27 → 27 ÷ 3 = 9 → divisible
✔ Yes
14)
648
Sum: 6 + 4 + 8 =
18 → 18 ÷ 3 = 6 → divisible
✔ Yes
15)
84,679
Sum: 8 + 4 + 6 + 7 + 9 =
34 → 34 ÷ 3 ≈ 11.33 → not divisible
✘ No
16)
42,783
Sum: 4 + 2 + 7 + 8 + 3 =
24 → 24 ÷ 3 = 8 → divisible
✔ Yes
17)
819
Sum: 8 + 1 + 9 =
18 → 18 ÷ 3 = 6 → divisible
✔ Yes
18)
16,789
Sum: 1 + 6 + 7 + 8 + 9 =
31 → 31 ÷ 3 ≈ 10.33 → not divisible
✘ 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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✔ Summary: The numbers divisible by 3 are:
351, 9,132, 36,696, 84, 25,788, 3,735, 73,458, 648, 42,783, 819
Let me know if you'd like this in a printable format or with explanations for each!
Parent Tip: Review the logic above to help your child master the concept of divisibility rules worksheet pdf.
