The number $100$ has four perfect square divisors, namely $1,$ $4,$ $25,$ and $100.$
What is the smallest positive integer that has exactly $2$ perfect square divisors?
Well, every number technically has a perfect square divisor 1.
This means that the smallest positive integer that has exactly 2 perfect square divisors is the next smallest pefect square.
Thus, 4 is the smallest.
We have
\(1 = 1^2\\ 4=2^2\)
Thus, our answer is just 4.
Thanks! :)
Well, every number technically has a perfect square divisor 1.
This means that the smallest positive integer that has exactly 2 perfect square divisors is the next smallest pefect square.
Thus, 4 is the smallest.
We have
\(1 = 1^2\\ 4=2^2\)
Thus, our answer is just 4.
Thanks! :)