Divisibility rule for 11 explained

Learn and know the divisibility rule for the number 11. Everyone knows divisibility rules up to 10, only some of us knows divisibility rule for 11.

divisibility rule for the number 11

How divisibility rules will help us and why we need to study about them. If you are doing any calculations and to know whether the given number is divisible by a particular number or not, is known by divisibility rules. By learning the divisibility rules we can do the calculations very fast which involves division.

The Divisibility rule for the number 11 as follows:

The Condition for checking the given number is divisible by 11 or not is follows like this “first find the difference of sum of the odd number places of a given number and sum of the even number places of a given number. If this difference is divisible by 11 then the entire number is also divisible by 11.

Examples:

Check the number 275847 is divisible by 11 or not?

Solution:

As per divisibility rule by 11,

Sum of odd number places in the given number = 2 + 5 +4 = 11

Sum of even number places in the given number = 7 + 8 + 7 = 22

Difference = 22 – 11 = 11.

As the difference is divisible by 11 so the entire number is divisible by the number 11.

Also check out Divisibility rule of 4

Check out whether the number 512370289 is divisible by the number 11 or not?

Solution:

As per divisibility rule by 11,

Sum of odd number places in the given number = 5 + 2 + 7 + 2 + 9 = 25

Sum of even number places in the given number = 1 + 3 + 0 + 8 = 12

Difference = 25 – 12 = 13.

As the difference is not divisible by 11 so the entire number is not divisible by the number 11.

Is the number 92914671 divisible by 11?

Solution:

As per divisibility rule by 11,

Sum of odd number places in the given number = 9 + 9 + 4 + 7 = 29

Sum of even number places in the given number = 2 + 1 + 6 + 1 = 9

Difference = 29 – 9 = 20.

As the difference is not divisible by 11 so the entire number is not divisible by the number 11.

I hope now you have understood the divisibility rule for the number 11.

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