Hi all,this is my first post on the forum. I am solving a programming problem where I need to find factors of a big number N(can be even or odd). The problem is:

I need to test different i such that (N-i) is divisible by i+1

For a number as large as 100 crores it would take a lot of time. And therefore I need some method by which I am able to reduce the divisions to 100000 or 1000000 at maximum. Is there any way this is possible. Any suggestions would be greatly appreciated.