If

Divisibility by 11.jpg

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

Then, Number is divisible by 11

 

Is 308 divisible by 11?

Divisibility by 11 ii.jpg

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.jpg

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.jpg

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.jpg

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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.