Divisible by 3

Divisible by 3 | Divisibility Test for 3 | Divisibility Rule of 3 with Examples

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 math operations. 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.

  1. Note down the given number.
  2. Add all the digits of a given number.
  3. Check out the output of addition is divisible by 3 or not.
  4. If the output is divisible is 3, the given number is divided by 3. If not the given number is not divisible by 3.

Divisible by 3 Examples

(i) 60

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

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

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

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

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

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

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

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

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

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.

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