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?

learnmgcat Jun 23, 2024

#1**+1 **

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! :)

NotThatSmart Jun 23, 2024

#1**+1 **

Best Answer

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! :)

NotThatSmart Jun 23, 2024