Question
Give the prime factorization of the following number: $8712$
✓
Answer
We will use the didvision method as shown below:
$\begin{array}{c|c}2&8712\\\hline2&4356\\\hline2&2178\\\hline3&1089\\\hline3&363\\\hline11&121\\\hline11&11\\\hline&1\end{array}$
$\therefore8712=2\times2\times2\times3\times3\times11\times11$ $=2^3\times3^2\times11^2$
$\begin{array}{c|c}2&8712\\\hline2&4356\\\hline2&2178\\\hline3&1089\\\hline3&363\\\hline11&121\\\hline11&11\\\hline&1\end{array}$
$\therefore8712=2\times2\times2\times3\times3\times11\times11$ $=2^3\times3^2\times11^2$
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