**Divisibility of a number by 11 shortcut tricks**

Shortcut Tricks are

First of all do a practice set on math of any exam. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After solving all ten math questions write down total time taken by you to solve those questions. Now go through our page for divisibility of a number by 11 shortcut trick. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of Timing. You will surely see the improvement in your timing this time. But this is not enough. You need to practice more to improve your timing more.

Math section in a competitive exam is the most important part of the exam. 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 you can do this only by using shortcut tricks. 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 11 shortcut tricks. Here in this page we try to put all types of shortcut tricks on Divisibility of a number by 11. But if you see any tricks are missing from the list then please inform us. Your little help will help others.

We are try to calculate divisibility of a number by 11 or any number using divisor 11, 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 11.

Divisibility of a number by 11

If the sum of all digits of Even places is same as the sum of all digits of Odd places then the whole number is divisible by 11.

Example #1 – Divisibility of a number by 11

Is 1236431460 divisible by 11?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all digits of Even places of the number.

In this case it is (2 + 6 + 3 + 4 + 0) = 15. - Add all digits of Odd places of the number.

In this case it is (1 + 3 + 4 + 1 + 6) = 15. - As we mention in the rule that if result of both the sum is equal then the number is divisible by 11.

Here, Sum of all Even places digits = Sum of all Odd places digits.

So, the number 1236431460 is Divisible by 11.

**Rough Workspace**

Example #2 – Divisibility of a number by 11

Is 7972813805 divisible by 11?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all digits of Even places of the number.

In this case it is (9 + 2 + 1 + 8 + 5) = 25. - Add all digits of Odd places of the number.

In this case it is (7 + 7 + 8 + 3 + 0) = 25. - As we mention in the rule that if result of both the sum is equal then the number is divisible by 11.

Here, Sum of all Even places digits = Sum of all Odd places digits.

So, the number 7972813805 is Divisible by 11.

**Rough Workspace**

Example #3 – Divisibility of a number by 11

Is 513678 divisible by 11?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all digits of Even places of the number.

In this case it is (1 + 6 + 8) = 15. - Add all digits of Odd places of the number.

In this case it is (5 + 3 + 7) = 15. - As we mention in the rule that if result of both the sum is equal then the number is divisible by 11.

Here, Sum of all Even places digits = Sum of all Odd places digits.

So, the number 513678 is Divisible by 11.

**Rough Workspace**

Example #4 – Divisibility of a number by 11

Is 697972 divisible by 11?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all digits of Even places of the number.

In this case it is (9 + 9 + 2) = 20. - Add all digits of Odd places of the number.

In this case it is (6 + 7 + 7) = 20. - As we mention in the rule that if result of both the sum is equal then the number is divisible by 11.

Here, Sum of all Even places digits = Sum of all Odd places digits.

So, the number 697972 is Divisible by 11.

**Rough Workspace**

Example #5 – Divisibility of a number by 11

Is 874720 divisible by 11?

- Yes
- No

Show Answer Show How to Solve Open Rough Workspace

**Answer:**Yes

**How to Solve**

- Add all digits of Even places of the number.

In this case it is (7 + 7 + 0) = 14. - Add all digits of Odd places of the number.

In this case it is (8 + 4 + 2) = 14. - As we mention in the rule that if result of both the sum is equal then the number is divisible by 11.

Here, Sum of all Even places digits = Sum of all Odd places digits.

So, the number 874720 is Divisible by 11.

**Rough Workspace**

### You may also like to know:

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- Divisibility of a number by 10 shortcut tricks
- Divisibility of a number by 15 shortcut tricks

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