Example 17 Find the standard factorization of 9828.

Find the standard factorization of 9828.
$$\begin{array}{r|r}
2 & 9828 \\
3 & 2457 \\
\hline 3^{2} & 819 \\
\hline 7 \mid 91 \\
\hline & 13
\end{array}$$

So $9828=2^{2} \times 3^{3} \times 7 \times 13$.