Divisible by 3 is possible when the sum of the given digits is divisible by 3. Check out how a number is divisible by 3 in this article. We have given different examples along with a clear explanation here. Also, we have included some of the tricks to find out the process to find a number that is divisible by 3. Improve your math solving skills by learning the different tricks in Divisibility Rules. Verify all the articles on our website and make your real-life happy with the best math learning process.
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How to Test if a Number is Divisible by 3 or Not?
Follow the below procedure to find out the numbers either are divisible by 3 or not.
- Note down the given number.
- Add all the digits of a given number.
- Check out the output of addition is divisible by 3 or not.
- If the output is divisible is 3, the given number is divided by 3. If not the given number is not divisible by 3.
Divisibility Test of 3 Examples
(i) 60
Solution:
The given number is 60.
Add the digits of the given number.
Add 6 and 0.
6 + 0 = 6.
The number 6 is divisible by 3.
Hence, 60 is divisible by 3.
(ii) 74
Solution:
The given number is 74.
Add the digits of the given number.
Add 7 and 4.
7 + 4 = 11.
The number 11 is not divisible by 3.
Hence, 74 is not divisible by 3.
(iii) 139
Solution:
The given number is 139.
Add the digits of the given number.
Add 1, 3, and 9.
1 + 3 + 9 = 13.
The number 13 is not divisible by 3.
Hence, 139 is not divisible by 3.
(iv) 234
Solution:
The given number is 234.
Add the digits of the given number.
Add 2, 3, and 4.
2 + 3 + 4 = 9.
The number 9 is divisible by 3.
Hence, 234 is divisible by 3.
(v) 196
Solution:
The given number is 196.
Add the digits of the given number.
Add 1, 9, and 6.
1 + 9 + 6 = 16.
The number 16 is not divisible by 3.
Hence, 196 is not divisible by 3.
(vi) 156
Solution:
The given number is 156.
Add the digits of the given number.
Add 1, 5, and 6.
1 + 5 + 6 = 12.
The number 12 is divisible by 3.
Hence, 156 is divisible by 3.
(vii) 174
Solution:
The given number is 174.
Add the digits of the given number.
Add 1, 7, and 4.
1 + 7 + 4 = 12.
The number 12 is divisible by 3.
Hence, 174 is divisible by 3.
(viii) 278
Solution:
The given number is 278.
Add the digits of the given number.
Add 2, 7, and 8.
2 + 7 + 8 = 17.
The number 17 is not divisible by 3.
Hence, 278 is not divisible by 3.
(ix) 279
Solution:
The given number is 279.
Add the digits of the given number.
Add 2, 7, and 9.
2 + 7 + 9 = 18.
The number 18 is divisible by 3.
Hence, 279 is divisible by 3.
(x) 181
Solution:
The given number is 181.
Add the digits of the given number.
Add 1, 8, and 1.
1 + 8 + 1 = 10.
The number 10 is not divisible by 3.
Hence, 181 is not divisible by 3.
Solved Problems on Rules of Divisibility by 3
Fill the correct lowest possible digit in the blank space to make the number divisible by 3.
(i) 15335_
The given number is 15335_.
Add the digits of the given number.
Add 1, 5, 3, 3, and 5.
1 + 5 + 3 + 3 + 5 = 17.
By adding 1 to the number 17, it becomes 18. The number 18 is divisible by 3.
The lowest possible digit in the blank space to make the number divisible by 3 is 1.
Hence, 153351 is the required digit of a given number.
(ii) 20_987
The given number is 20_987.
Add the digits of the given number.
Add 2, 0, 9, 8, and 7.
2 + 0 + 9 + 8 + 7 = 26.
By adding 1 to the number 26, it becomes 27. The number 27 is divisible by 3.
The lowest possible digit in the blank space to make the number divisible by 3 is 1.
Hence, 201987 is the required digit of a given number.
(iii) 8420_1
The given number is 8420_1.
Add the digits of the given number.
Add 8, 4, 2, 0, and 1.
8 + 4 + 2 + 0 + 1 = 15.
By adding 0 to the number 15, it becomes 15. The number 15 is divisible by 3.
The lowest possible digit in the blank space to make the number divisible by 3 is 0.
Hence, 842001 is the required digit of a given number.
(iv) 749_262
The given number is 749_262.
Add the digits of the given number.
Add 7, 4, 9, 2, 6, and 2.
7 + 4 + 9 + 2 + 6 + 2 = 30.
By adding 0 to the number 30, it becomes 30. The number 30is divisible by 3.
The lowest possible digit in the blank space to make the number divisible by 3 is 0.
Hence, 7490262 is the required digit of a given number.
(v) 998_32
The given number is 998_32.
Add the digits of the given number.
Add 9, 9, 8, 3, and 2.
9 + 9 + 8 + 3 + 2 = 31.
By adding 2 to the number 31, it becomes 33. The number 33 is divisible by 3.
The lowest possible digit in the blank space to make the number divisible by 3 is 2.
Hence, 998232 is the required digit of a given number.
(vi) 1_7072
The given number is 1_7072.
Add the digits of the given number.
Add 1, 7, 0, 7, and 2.
1 + 7 + 0 + 7 + 2 = 17.
By adding 1 to the number 17, it becomes 18. The number 18 is divisible by 3.
The lowest possible digit in the blank space to make the number divisible by 3 is 1.
Hence, 117072 is the required digit of a given number.
See More Divisibility Tests:
| Divisible by 2 | Divisible by 4 | Divisible by 5 |
| Divisible by 6 | Divisible by 7 | Divisible by 8 |
| Divisible by 9 | Divisible by 10 |