Question 1 of 101

$\langle n\rangle$ denotes the smallest whole number that is not a factor of $n$. For example, \begin{align*} \langle 7 \rangle &= 2 \\ \langle 12 \rangle &= 5. \end{align*} Find the value of $\langle \langle 23\rangle x \langle 100\rangle \rangle$