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A positive integer is called terrific if it has exactly $3$ positive divisors. What is the smallest terrific positive integer?

 Jun 21, 2024

Best Answer 

 #1
avatar+1230 
+1

A terrific number must be only divisble by one and itself AND be a perfect square. 

Let's test perfect squares and see what we get. 

First, let's test \(1\). It's only divisble by 1, so it doesn't work. 

 

Next, we have \(4\). It's divisble by \(1, 2, 4\). So it is a terrific number!

 

So 4 is our answer. 

 

Thanks! :)

 Jun 21, 2024
 #1
avatar+1230 
+1
Best Answer

A terrific number must be only divisble by one and itself AND be a perfect square. 

Let's test perfect squares and see what we get. 

First, let's test \(1\). It's only divisble by 1, so it doesn't work. 

 

Next, we have \(4\). It's divisble by \(1, 2, 4\). So it is a terrific number!

 

So 4 is our answer. 

 

Thanks! :)

NotThatSmart Jun 21, 2024

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