Question

Using divisibility tests, determine the following number is divisible by $11$ .

$5445$

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 $5445$ .

The sum of the digits at even places is $4+5=9$.
The sum of the digits at odd places is $5+4=9$.
Difference between the sum of the digits at the even and odd places $=9–9=0$
The difference between the sum of the digits at odd and even places is $0$ , which is a multiple of $11$.

Hence, $5445$ is divisible by $11$.