Processing math: 100%
 
+0  
 
+1
20
1
avatar+280 

A positive integer is called terrific if it has exactly $10$ positive divisors. What is the smallest number of primes that could divide a terrific positive integer?

 Jul 19, 2024
 #1
avatar+1950 
+1

Let's look at the number 512. 

We know that 512=29 , which means it has 10 divisors. 
Since it's divisble by 2 and two is the smallest prime, 

 

our final answer is 2. 

 

Thanks! :)

 Jul 19, 2024
edited by NotThatSmart  Jul 19, 2024

2 Online Users

avatar