Question

Using the divisibility test, determine $7138965$ 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 $7138965$

Sum of the digit at odd places $=5+9+3+7=24$

Sum of the digit at even places $=6+8+1=15$

The difference $=24-15=9$ which is not divisible by $11$.

Therefore, the number $7138965$ is not divisible by $11$.