Divisibility Rule For 11-If you’re trying to divide a number by 11, the divisibility rule for 11 can come in handy. This rule states that if the sum of the digits is divisible by 11, then the entire number is divisible by 11. So, if you’re trying to divide a number like 121 by 11, you would add up the digits (1+2+1=4) and see if 4 is divisible by 11. In this case, it is, so 121 would be divisible by 11.

There are a few simple rules of divisibility for 11 to remember when trying to determine if a number is divisible by 11. First, if the sum of all the digits is divisible by 11, then the whole number is divisible by 11. For example, take the number 12345. The sum of the digits 1+2+3+4+5=15 which is divisible by 11, so 12345 is also divisible by 11.

Another rule to follow is if you alternate adding and subtracting the digits from left to right and the result is 0 or a multiple of 11, then the original number is also divisible by 11.

To learn what is the divisibility rule for 11 in maths you are right place.

The divisibility rule11 is simple: if the sum of the digits of a number is divisible by 11, then the number itself is divisible by 11. For example, the number 121 is divisible by 11 because 1+2+1=4 and 4 are divisible by 11. PDF

## Divisibility Rule For 11

The divisibility rule for 11 is a quick way to check if a number is evenly divisible by 11. The rule states that if the sum of the digits of a number is divisible by 11, then the number itself is divisible by 11. For example, let’s say we want to check if the number 123 is evenly divisible by 11. We would add up the digits (1 + 2 + 3), which equals 6. Since 6 is evenly divisible by 11, we can conclude that 123 is also evenly divisible by 11.

This rule can be useful for students who are trying to quickly check if their answers to division problems are correct. If they get an answer that isn’t a whole number, they can use the divisibility rule for 11 to check if they made a mistake in their calculation. PDF

### Examples of Divisibility Rule of 11

To determine if a number is divisible by 11, we first look at the alternating sums of its digits. If this sum is itself divisible by 11, then so is the original number. For example, let’s take the number 1234. Starting from the rightmost digit, 4, and alternate between adding and subtracting digits:

4 – 2 + 1 – 3 = 0

Since 0 is divisible by 11, 1234 is too.

Here’s another example with a larger number: 123456789. Again starting from the rightmost digit and alternating between add and subtract):

9 – 8 + 7 – 6 + 5 – 4 + 3 – 2 + 1 = 11

Since 11 is divisible by 11, 123456789 must be as well.

This rule can be applied to any number, no matter how large or small. To find out if a number is divisible by 11, simply add up all of the digits and see if the result is divisible by 11. If it is, then the original number is also divisible by 11.

This rule can be used to quickly check whether a number is divisible by 11 without having to do any long division. It can be especially useful when working with very large numbers. PDF

Divisibility rule for eleven with examples are mentioned here for your great learnings in the given concept.

Interestingly, the divisibility rule for 11 can be used to quickly check whether a given number is prime. For instance, take the number 41. The sum of its digits is 4+1=5. 5 is not divisible by 11, so 41 cannot be a prime number (it’s actually composite).

There are other interesting applications of this rule as well.