Question

Check the divisibility of 61809 by 11.

Answer 1

Step 1: Understanding the tests of divisibility:

Divisibility by $11$: A number is divisible by $11$, if the difference between sum of digits at the odd places and the sum of digits at the even places is either $0$ or a multiple of $11$.

Step 2: Check the divisibility of $61809$ by $11$.

Sum of digits at odd places $=9+8+6=23$

Sum of digits at even places $=0+1=1$

Difference of these two sums $=23-1=22$

Since, $22$ is divisible by $11$.

Therefore, $61809$ is divisible by $11.$