Question 1185265
<br>
Presumably, in posting this question, you were interested in learning HOW to work the problem.<br>
One of the responses you got doesn't help at all with that, since it just shows the answer.<br>
The other response is inefficient, as it takes out one small prime factor at a time.<br>
The solution is reached more easily by breaking the number into larger identifiable factors and then further simplifying those factors.<br><pre>
6750
(675)(10)  the factor of 10 is easy to see
(27)(25)(10)  I recognize 675 as a multiple of 25; if you don't see that immediately, you can take the two factors of 5 out one at a time
(3*3*3)*(5*5)*(2*5)  the previous three factors are all quickly and easily decomposed into prime factors<br></pre>
ANSWER: (3^3)(5^3)(2^1)<br>