A positive integer is called terrific if it has exactly 5 positive divisors. What is the smallest terrific positive integer?

Hi6942O Jun 23, 2024

#1**+1 **

A terrific number must be a perfect square since it has an odd number of divisors.

It also has 1 set of divisors other than 1 and itself.

\(1,4,9\) all don't work since they only have 3 divisors.

However, \(16\) has exactly 5 factors. We have \(1,2,4,8,16\)

Thus, our answer is 16.

Thanks! :)

NotThatSmart Jun 23, 2024