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Answer :
The greatest 4-digit number = 9999
$$
\begin{array}{|l}
\llap{3~~~~} 9999 \\ \hline
\llap{3~~~~} 3333 \\ \hline
\llap{11~~~~} 1111 \\ \hline
\llap{101~~~~} 101 \\ \hline
1
\end{array}
$$
Hence, the prime factors of 9999 = 3 x 3 x 11 x 101.