If 12!/3^x is an integer, what is the greatest possible value of x? Choose the correct choice from the following options.
A) 3	B) 4	C) 5	D) 6	E) 7
This question is asking how many power of 3 exists in 12!   easiest way is to identify factor of three   12 -&gt; 4*3 =&gt; 1 power of 3   9 -&gt; 3*3=&gt; 2 power of 3   6 -&gt; 2*3=&gt; 1 power of 3   3 -&gt; 1*3=&gt; 1 power of 3   Total equal 5   ANSWER:5
<result>C</result>
If 12!/3^x is an integer, what is the greatest possible value of x?