+0  
 
0
3
1
avatar+683 

A positive integer is called terrific if it has exactly 5 positive divisors.   What is the largest number of primes that could divide a terrific positive integer?

 Jun 23, 2024
 #1
avatar+85 
+1

to get the number of divisors an integer has we multiply the powers of the primes +1. for example 20 is 2^2*5^1 so the total number of divisors is (2+1)(1+1) or 6. so we need to reverse this process for 5. 5 is prime so it has to be 1*5 or p^4. there can only be \(\boxed 1\) prime that divides a terrific positive integer. so much for being terrific ;P

 Jun 23, 2024

2 Online Users

avatar