SOLUTION: 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?

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Question 1207657: 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?

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


The two smallest perfect squares are 1 and 4, so the smallest positive integer that has exactly 2 perfect square divisors is the least common multiple of 1 and 4, which is, trivially, 4.

ANSWER: 4


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