Question

Using divisibility rules, determine if $50007001$ is divisible by $11$.

Answer 1

Checking the divisibility by $11$

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

Now, sum of odd place digits $=5+0+7+0=12$

Sum of even place digits $=0+0+0+1=1$

Difference $=12-1=11$, which is a multiple of $11$.

Therefore, $50007001$ is divisible by $11$.