Divisibility Rule of 11 with Example
The Divisibility rule for 11 is to calculate the difference between the sum of digits present at an even position to the sum of digits present at an odd position. If this difference is zero or the difference is divisible by 11 then the initial value is divisible by 11.
Example: Check if 70828162317 is divisible by 11
Solution:
To check if 70828162317 is divisible by 11 or not we follow the following steps
Step 1:
Start from the rightmost side, at the digits present at the odd position (1st, 3rd, 5th, and so on ) then add the digit present in the even position (2nd, 4th, 6th, and so on ).
Sum of the Values at Odd Position = 7 + 8 + 8 + 6 + 3 + 7 = 39
Sum of the Values at Even Position = 0 + 2 + 1 + 2 + 1 = 6
Step 2:
Now Calculate the difference between the sum of the values at Even Position and Odd Position
Difference = Sum of the Values at Odd Position – Sum of the Values at Even Position = 39 – 6 = 33
The difference is not equal to zero but the difference 33 is divisible by 11.
Hence the initial value that is 70828162317 is divisible by 11.
Divisibility Rule of 11
Divisibility Rule of 11 is the rule to check if a number is completely divisible by 11. According to divisibility rule of 11, if the difference between the sum of the digits in a number at odd and even place is zero or divisible by 11, then the number is divisible of 11. It saves time by checking the divisibility of a number by 11 without doing the actual division.
In this article, we will learn what is divisibility rule of 11, how to use he divisibility rule of 11 with examples and solve some questions based on it.
Table of Content
- What is Divisibility Rule of 11?
- Divisibility Rule of 11 with Example
- Divisibility Rule of 11 for 3 Digit Number
- Divisibility Rule of 11 for Large Numbers
- Divisibility Rule of 11 and 12
- Divisibility Rule of 11 Examples
- Practice Questions on Divisibility Rule of 11