The product of the squares of two positive integers is 400. How many pairs of positive integers satisfy this condition?  Choose the correct choice from the following options:	A) 0	B) 1	C) 2	D) 3	E) 4
First break down 200 into 20*20 and further into the prime factors 2*  2*5= 
<gadget id="calculator">  2*5</gadget>
<output>10</output>
10)   2nd: 4^2*5^2 (i.e. two times   2*2= 
<gadget id="calculator">  2*2</gadget>
<output>4</output>
4= 4^2 and 5^2).   3rd: 1^2*20^2 (i.e. two times 2*2*5 and 1^2 = 1)   Answer 3.
<result>D</result>
The product of the squares of two positive integers is 400. How many pairs of positive integers satisfy this condition?