Question

Test whether $180301$ is divisible by $11$

Answer 1

The divisibility by $11$ rule states that if the difference of the sum of the digits at odd places and the sum of the digits at even places of the number is 0 or divisible by $11$, then the given number is also divisible by $11$. For calculating the difference, we always subtract the smaller value from the larger value.

$$\begin{gathered} 180301 \\ \Rightarrow (8+3+1)-(1+0+0) \\ \Rightarrow 11 \end{gathered}$$

Therefore, $180301$ is divisible by $11$