Question

Using divisibility tests, determine if the given number is divisible by $11$ :

$7138965$

Answer 1

Rule for divisibility by $11$ :

A whole number is divisible by $11$ if the difference between the sums of digits in even and odd positions is a multiple of $11$.

Here the given number is $7138965$ .

The sum of the digits at even places is $6+8+1=15$.
The sum of the digits at odd places is $5+9+3+7=24$.
Difference between the sum of the digits at the even and odd places $\Rightarrow 24–15=9$
The difference between the sum of the digits at odd and even places is $9$, which is not a multiple of $11$.

Hence, $7138965$ is not divisible by $11$.