Divisibility rule for 11

Divisibility rule for 11 – Video Explanation

Problem 1 – Divisibility rule for 11

Check whether 32857 is divisible by 11 ?

a) Yes
b) No

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, the given number 32857
Sum of the digits at even places:
5 + 2 = 7
Sum of the digits at odd places:
7 + 8 + 3 = 18
Difference between sum of digits at even and odd places = 18 – 7 = 11 ( Which is divisible by 11 )
Therefore, 32857 is also divisible by 11




Problem 2 – Divisibility rule for 11

Check whether 64820 is divisible by 11 ?

a) Yes
b) No

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, the given number 64820
Sum of the digits at even places:
2 + 4 = 6
Sum of the digits at odd places:
0 + 8 + 6 = 14
Difference between sum of digits at even and odd places = 14 – 6 = 8 ( Which is not divisible by 11 )
Therefore, 64820 is not divisible by 11

Problem 3 – Divisibility rule for 11

Check whether 54227 is divisible by 11 ?

a) Yes
b) No

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, the given number 54227
Sum of the digits at even places:
2 + 4 = 6
Sum of the digits at odd places:
7 + 2 + 5 = 14
Difference between sum of digits at even and odd places = 14 – 6 = 8 ( Which is not divisible by 11 )
Therefore, 54227 is not divisible by 11




Problem 4 – Divisibility rule for 11

Check whether 68415 is divisible by 11 ?

a) Yes
b) No

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, the given number 68415
Sum of the digits at even places:
1 + 8 = 9
Sum of the digits at odd places:
5 + 4 + 6 = 15
Difference between sum of digits at even and odd places = 15 – 9 = 6 ( Which is not divisible by 11 )
Therefore, 68415 is not divisible by 11

Problem 5 – Divisibility rule for 11

Check whether 91426 is divisible by 11 ?

a) Yes
b) No

A number is divisible by 11 if the difference between the sum of the digits at odd place and the digits at even place is either 0 or divisible by 11.
In, the given number 91426
Sum of the digits at even places:
2 + 1 = 3
Sum of the digits at odd places:
6 + 4 + 9 = 19
Difference between sum of digits at even and odd places = 19 – 3 = 16 ( Which is not divisible by 11 )
Therefore, 91426 is not divisible by 11

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