Question

Check the divisibility of 586949 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 $586949$ by $11$.

Sum of digits at odd places $=9+9+8=26$

Sum of digits at even places $=4+6+5=15$

Difference of these two sums $=26-15=11$

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

Therefore, $586949$ is divisible by $11.$