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Answer :
The smallest 5-digit number = 10000
$$
\begin{array}{|l}
\llap{2~~~~} 10000 \\ \hline
\llap{2~~~~} 5000 \\ \hline
\llap{2~~~~} 2500 \\ \hline
\llap{2~~~~} 1250 \\ \hline
\llap{5~~~~} 625 \\ \hline
\llap{5~~~~} 125 \\ \hline
\llap{5~~~~} 25 \\ \hline
5
\end{array}
$$
Hence, the required prime factors: 10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5.