The correct option is C 45
3600=24⋅32⋅52
Since, we can see that 3600 is a perfect square, the number of ways in which 3600 can be resolved as product of two numbers =12[(4+1)(2+1)(2+1)+1]=23
But here, (x,y) can interchange their places.
∴ total possible pairs (x,y) is 23×2−1=45
∵given number is a perfect square, (60,60) cannot be interchanged