Question

Check the divisibility of 1331 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 $1331$ by $11$.

Sum of digits at odd places $=1+3=4$

Sum of digits at even places $=3+1=4$

Difference of these two sums $=4-4=0$

Since, the difference between the sums is $0$

Therefore, $1331$ is divisible by $11.$