Divisibility by 11

Last updated at April 16, 2024 by

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?

Divisibility by 11 - Part 2

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?

Divisibility by 11 - Part 3

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?

Divisibility by 11 - Part 4

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?

Divisibility by 11 - Part 5

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

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo