Explain the Divisibility rule of 11.

Divisibility Of 11 :

A positive integer N is divisible by $11$ if the difference of the alternating sum of digits of N is a multiple of $11$.

For example

$2343$ is divisible by $11$ because $2 - 3 + 4 - 3 = 0$, which is a multiple of $11$.

$24680$ 

Sum of the alternating digits is,

$2-4+6-8+0 = -4$  and $-4$ is not a multiple of $11$.

Therefore, 24680 is not divisible by 11.

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Updated on: 10-Oct-2022

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