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 |