If

How to check Divisibility by 11

So, if the difference is 0, 11, 22, 33, ….

Then, Number is divisible by 11

 

Is 308 divisible by 11?

Checking if 308 is divisible by 11

Sum of digits at odd Places = 8 + 3 = 11

Sum of digits at even Places = 0

 

Difference = 11 − 0 = 11

 

Since 11 is divisible by 11

∴ 308 is divisible by 11

 

Is 1331 divisible by 11?

Is 1331 divisible by 11

Sum of digits at odd Places = 1 + 3 = 4

Sum of digits at even Places = 3 + 1 = 4

 

Difference = 4 − 4 = 0

 

Since difference is 0

∴ 1331 is divisible by 11

 

Is 61809 divisible by 11?

Is 61809 divisible by 11?

Sum of digits at odd Places = 9 + 8 + 6 = 23

Sum of digits at even Places = 0 + 1 = 1

 

Difference = 23 − 1 = 22

 

Since 22 is divisible by 11

∴ 61809 is divisible by 11

 

Is 5081 divisible by 11?

Is 5081 divisible by 11?

Sum of digits at odd Places = 1 + 0 = 1

Sum of digits at even Places = 8 + 5 = 13

 

Difference = 13 − 1 = 12

 

Since 12 is not divisible by 11

∴ 5081 is not divisible by 11

  1. Chapter 3 Class 6 Playing with Numbers
  2. Concept wise

Transcript

Sum of digits at odd Places – Sum of digits at even Places = 0 OR Number divisible by 11

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.