If k is a positive even integer, what is the smallest possible value of k such that 3675*k is the square of an integer?
Choose the correct choice from the following:	A) 3	B) 9	C) 12	D) 15	E) 20
3675=31∗52∗72   Now , is the most important part of this question   K must be even ( negate options A, B and D ) W e are left with C and E   Try one to confirm the answer...   Let's try (E)   20=22∗51   3675∗20=22∗31∗53∗72 ( 12an not square of an Integer )   So, Answer must be (12)....
<result>C</result>
If k is a positive even integer, what is the smallest possible value of k such that 3675*k is the square of an integer?