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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?

 Jun 23, 2024

Best Answer 

 #1
avatar+1230 
+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! :)

 Jun 23, 2024
 #1
avatar+1230 
+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

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