Verified Answer :

Perfect squares can be divided and multiplied by the same number to get the same number. For example 25/5=5. 55=25.
4/2=2, 2
2=4
1/1=1, 11=1
9/3=3, 3
3=9
16/4=4, 4*4=16.
Hence the perfect squares.

Because they are squares of integer numbers.

\(1=1^2\\ 4=2^2\\ 9=3^2\\ 16=4^2\\ 25=5^2\)