Any number of the form a*b^4 where a and b are different prime numbers, or c^9 where c is a prime, will have exactly 10 factors.
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Well, If we looked at this way: (224) = 16777216, so this number has exactly 24 factors. (324) = 282429536481, so this number has exactly 24 factors. (510)(210)(34) = 810000000000, so this number has exactly 24 factors.
A number that has exactly two (positive) factors is called a prime number. For instance, the only factors of 7 are 1 and 7.
The number 1 or a factor.
The first number to have exactly 10 divisors is 48.