Numbers with three factors are squares of primes: 4, 9, 25
30, 42, 66, 78, 102, 105, 114, 138 all have exactly three distinct prime factors.
A number has exactly three factors if and only if it is the square of a prime number.
A square of any prime number, p has exactly three factors. They are 1, p and p^2.
The number 9: factors are 9, 3, and 1.
The smallest number that has exactly three factors is 4.
All prime squares have exactly three factors.49 has exactly three factors: 1, 7, and 49.
There are an infinite number of them. 8 has three prime factors, 30 is the first with three distinct prime factors.
30
Numbers with three factors are squares of primes. So: 4, 9, 25
625
Prime squares have three factors. 4, 9, 25
The largest two-digit number with exactly three factors is 99. A number has exactly three factors if it is the square of a prime number, specifically in the form ( p^2 ) where ( p ) is a prime. The only prime number whose square is a two-digit number is 7, since ( 7^2 = 49 ) and ( 11^2 = 121 ) exceeds two digits. Thus, 49 is the largest two-digit number with exactly three factors.