![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
How many different spellings are there to make a rectangle with 48 squares of the same size?
48=2*2*2*2*3
So the divisor of 48 is 1,2,3,4,6,8,12,16,24,48
Therefore, the cases of putting together rectangles are as follows:
1*48=48
2*24=48
3*16=48
4*12=48
6*8=48
12 * 4 = 48 (repeat)
16 * 3 = 48 (repeat)
24 * 2 = 48 (repeated)
48 * 1 = 48 (repeated)
So there are five spellings
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