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For example, let's try this to decide whether \(1642 \mid 136299\text{.}\) Start finding multiples of 1642:
\begin{equation*}
1642 \cdot 2 = 3284 \qquad 1642 \cdot 3 = 4926 \qquad 1642\cdot 4 = 6568 \qquad \cdots\text{.}
\end{equation*}
in-context