Sometimes works, sometimes doesn't work. First time, didn't work on any numbers at all. Second time, it only worked on one or two numbers selected. Good program, but sometimes it just doesn't give a result. :\

Ooh, that's a very useful tool indeed. I tried to make a similar thing in Excel a while ago, but didn't really get anywhere. I managed to figure out a way of working out how many factors a number will have though.

Put your number in the form of 2^a * 3^b * 5^c * 7^d * ..., showing all of its prime factors.

Then find the product of (a+1), (b+1), (c+1) and so on.

e.g. 24 would be written as 2^3 * 3^1 * 5^0 * ...
Therefore, 24 has (3+1) * (1+1) * (0+1) * ... = 4*2 = 8 factors.

Of course, your tool could tell you that anyway, but it's still quite useful if you don't have a computer handy.

Oh, and the tool works perfectly for me every time, by the way.

Glad to be back! It turns out that the problem with my internet was so ridiculously simple that I completely missed it.

Ah well, I'm back now.

In your example, with the factors of 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, almost all of the possible combinations are repeats of other possible combinations.

I don't know if it's possible to program, but if you could make the computer think of it as 2^6 and 5^6 instead, then it would be much quicker.

Instead of doing 1, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 2*2, 2*2, 2*2, 2*2, 2*2, 2*5, 2*5, and so on, having to disregard most of its calculations because it had already worked them out, it could do 1, 2, 2^2, 2^3, 2^4, 2^5, 2^6, 5, 2*5, 2^2*5, 2^3,*5, 2^4*5, 2^5*5, 2^6*5, 5^2, 2*5^2, 2^2*5^2 and so on, with each calculation producing a different factor and so being much more efficient.