**Divisibility of a number by 3**

Divisibility of a

Before doing anything we recommend you to do a math practice set. Write down twenty math problems related to this topic on a page. Do first ten maths using basic formula of this math topic. You also need to keep track of Timing. Write down the time taken by you to solve those questions. Now practice our shortcut tricks on divisibility of a number by 3 and read examples carefully. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of the time. This time you will surely see improvement in your timing. But this is not all you need. You need more practice to improve your timing more.

You all know that math portion is very much important in competitive exams. That doesn’t mean that other topics are less important. But only math portion can leads you to a good score. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and only shortcut tricks can give you that success. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential that you may do maths within time without using any shortcut tricks. But so many other people may not do the same. For those we prepared this divisibility of a number by 3 shortcut tricks. We try our level best to put together all types of shortcut methods here. But if you see any tricks are missing from the list then please inform us. Your little help will help so many needy.

We are try to calculate divisibility of a number by 3 or any number using divisor 3, but if any large numbers is given we are not able to perform fast ,and using some rule and shortcut tricks we are calculate the divisibility of a numbers by 3.

Divisibility of a number by 3

If the Sum or addition of all Digits of a number is divisible by 3 then the number is divisible by 3.

Example #1 – Divisibility of a number by 3

Is 861 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (8 + 6 + 1) = 15. - 15 is divisible by 3.

So, the number 861 is Divisible by 3.

**Rough Workspace**

Example #2 – Divisibility of a number by 3

Is 22104 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (2 + 2 + 1 + 0 + 4) = 9. - 9 is divisible by 3.

So, the number 22104 is Divisible by 3.

**Rough Workspace**

Example #3 – Divisibility of a number by 3

Is 99954 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (9 + 9 + 9 + 5 + 4) = 36. - 36 is divisible by 3.

So, the number 99954 is Divisible by 3.

**Rough Workspace**

Example #4 – Divisibility of a number by 3

Is 87921 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (8 + 7 + 9 + 2 + 1) = 27. - 27 is divisible by 3.

So, the number 87921 is Divisible by 3.

**Rough Workspace**

Example #5 – Divisibility of a number by 3

Is 69321 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (6 + 9 + 3 + 2 + 1) = 21. - 21 is divisible by 3.

So, the number 69321 is Divisible by 3.

**Rough Workspace**

Example #6 – Divisibility of a number by 3

Is 1359 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (1 + 3 + 5 + 9) = 18. - 18 is divisible by 3.

So, the number 1359 is Divisible by 3.

**Rough Workspace**

Example #7 – Divisibility of a number by 3

Is 96699966366999 divisible by 3?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all the Digits of the given number.

i.e, (9 + 6 + 6 + 9 + 9 + 9 + 6 + 6 + 3 + 6 + 6 + 9 + 9 + 9) = 102. - Again Add all the Digits of the result.

i.e, (1 + 0 + 2) = 3. - 3 is divisible by 3.

So, the number 96699966366999 is Divisible by 3.

**Rough Workspace**

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