What is the smallest positive integer K such that the product of 3675 x K is a perfect square?  Choose the correct option
A) 3 B) 9 C) 15 D) 25 E) 63
A perfect square, is just an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square.   Now, 3675= 5^2 * 7^2 * 3, so if k=3 then 3675 k = (5 * 7 * 3)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are already even).   3nswer: 3.
<result>A</result>
What is the smallest positive integer K such that the product of 3675 x K is a perfect square?