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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?

 Jul 6, 2024
 #1
avatar+677 
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The smallest number that works is 16.

 Jul 7, 2024
 #2
avatar+944 
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In the example, the divisors of 100 include 1 and 100.  

 

Using that standard, the smallest integer would be 4    

because its perfect square divisors are 1 and 4.  

.

 Jul 7, 2024

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