Question

Check the divisibility of $308$ 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 $308$ by $11$.

Sum of digits at odd places $=8+3=11$

Sum of digits at even places $=0$

Difference of these two sums $=11-0=11$

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

Therefore, $308$ is divisible by $11.$