What is the smallest positive integer K such that the product of 61347 x K is a perfect square? Pick one
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, 61347 = 13^2 * 11^2 * 3, so if k=3 then 61347 k = (13 * 11 * 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 61347 x K is a perfect square?