Question 567469
<pre>                                   

Make a factor tree. I'll color them red when they're
prime, that is, they won't break down any further:



                             288
                             /\
                            <font color="red">2</font>  144
                               /\ 
                             12  12
                             /\   /\
                            4  <font color="red">3</font> 4  <font color="red">3</font>
                           /\   /\
                          <font color="red">2</font>  <font color="red">2</font> <font color="red">2</font>  <font color="red">2</font>

<font color="red">2</font>·<font color="red">2</font>·<font color="red">2</font>·<font color="red">2</font>·<font color="red">2</font>·<font color="red">3</font>·<font color="red">3</font> = 2<sup>6</sup>·3<sup>2</sup>

Edwin</pre>