120
I Am A Number: Square, Even, 3 Digits, 3 Is A Factor. What Number Am I?
Any of
144 = 12^2
324 = 18^2
576 = 24^2
900 = 30^2
If it is even and 3 is a factor, then 2*3=6 must be a factor. If it is square, then 6^2=36 must be a factor, and the remaining factors must be square numbers. The squares between 100/36 and 1000/36 are 4, 9, 16, and 25. The numbers above are what you get when you multiply 36 by each of these square numbers.
144 = 12^2
324 = 18^2
576 = 24^2
900 = 30^2
If it is even and 3 is a factor, then 2*3=6 must be a factor. If it is square, then 6^2=36 must be a factor, and the remaining factors must be square numbers. The squares between 100/36 and 1000/36 are 4, 9, 16, and 25. The numbers above are what you get when you multiply 36 by each of these square numbers.
I am a number between 5 and 36, I am 1 more than a square number and 5 is a factor. What number am I?
