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?
Let's look at the number 512.
We know that \(512 = 2^9\), which means it has 10 divisors.
Since it's divisble by 2 and two is the smallest prime,
our final answer is 2.
Thanks! :)
Let's look at the number 512.
We know that \(512 = 2^9\), which means it has 10 divisors.
Since it's divisble by 2 and two is the smallest prime,
our final answer is 2.
Thanks! :)