Divisibility Rule of 11 for Large Numbers
Divisibility Rule of 11 is equally valid for larger numbers. Divisibility rule for larger numbers helps in saving time by checking if a number is divisible by 11 or not without performing any actual division. Let’s understand this with an example:
Example 1: Check if 65678932 is divisible by 11 or not.
Solution:
Find the sum of odd digits at odd places = 2 + 9 + 7 + 5 = 23
Find the sum of even digits at odd places = 3 + 8 + 6 + 6 = 23
Difference between sum of digits at odd and even place = 23 – 23 = 0
Since, the Difference between sum of digits at odd and even place is 0. Hence, 65678932 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