Question

Using the divisibility test, determine $901153$ 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 $901153$

Sum of the digit at odd places $=3+1+0=4$

Sum of the digit at even places $=5+1+9=15$

The difference $=15-4=11$ which is divisible by $11$.

Therefore, the number $901153$ is divisible by $11$.