Oh, dude, you just divide 2592 by 108 because 2592 divided by 108 equals 24. It's like math magic, but not really magic at all. So, if you want 2592 to equal 24, just divide it by 108 and voila, you've got your answer.
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1 cu foot = 1ft * 1 ft * 1 ft = 12 in * 12 in * 12 in = 1728 cubic inches. So 2592 cu inches = 2592/1728 = 1.5 cu ft
13.5
As a 18 sq ft room has area equal to 18*144=2592 sq inches, you need 2592/(18*18)=8 18 inch tiles.
The list is infinite but here are a few of them: 864, 1296, 1728, 2160, 2592.