Question

Is $10824$ divisible by $11$?

Answer 1

Check whether $10824$ is divisible by $11$or not:

For a number to be divisible by$11$, the difference between the sum of digits at odd places and the sum of digits at even places must be $0$ or a multiple of $11$.

So for $10824$,

Sum of digits at odd places $=1+8+4=13$

Sum of digits at even places $=0+2=2$

Difference $=13-2=11$

As the difference between the sum of digits at odd places and the sum of digits at even places is $11$, so $10824$ is divisible by $11$.

Hence, $10824$ is divisible by $11$.