Question

Using the divisibility test, determine $10824$ is divisible by $11$ or not?

Answer 1

Checking the divisibility by $11$:

Divisibility test for $11$: A number is divisible by $11$, if the difference between the sum of the digits at even places and the sum of the digits at odd places(starting from the ones place) is divisible by $11$.

Consider the number $10824$

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

Sum of the digit at even places $=2+0=2$

The difference $=13-2=11$ which is divisible by $11$.

Therefore, the number $10824$ is divisible by $11$.