If n is the smallest integer such that 108 times n is the square of an integer, what is the value of n?	Choose the correct choice from the following:
A) 2
B) 3
C) 6
D) 12
E) 24
108 can written as = 2 * 2 * 3 * 3 * 3 --&gt; 2^2* 3^3 ---(1)   so for 108 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of.   here 2 already has even power -&gt; So n has to be 2 to make the power of 2 in (1) even   Option 2 is correct
<result>A</result>
If n is the smallest integer such that 108 times n is the square of an integer, what is the value of n?