Calculating # or Rows and Columns

Question

I have a # of images that I'm stitching together into a sprite sheet, how can I calculate the number of rows and columns to fit equally in an even rectangle (no blank spaces)?

Some examples:

6 images should become 2 rows, 3 columns

7 images should become 1 row, 7 columns

8 images should become 2 rows, 4 columns

9 images should become 3 rows, 3 columns

10 images should become 2 rows, 5 columns

Hopefully that helps explain it.

Ideas?

Answer 1

Here's a very fast and easy algorithm (where N is the number of images)

rows = floor(sqrt(N))
while(N % rows != 0)
     rows = rows - 1

And rows will be the number of rows needed. Columns can obviously be found with N / rows.

I hope this helps!