12= 1
22= 4
32= 9
42= 16
52= 25
62= 36
72= 49
82= 64
92= 81
102= 100
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Perfect squares have an odd number of factors. There are 31 perfect squares less than 1000.
It does not matter! There are more numbers that are not perfect squares than there are perfect squares and the universe has not ground to a screeching halt!
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
They are: 25 and 36
Take the square root of 1617 and round it up. Take the square root of 5929 and round it down. That gives you the lower and upper range of the numbers which you must square to get the desired perfect squares.