Find the smallest positive integer that has 12 divisors Be o

Find the smallest positive integer that has 12 divisors. [Be orderly and efficient. efficiency will improve your score.]

Solution

Here 12 divisors will be the 12 prime factors actually of that smallest positive integer.

So that smallest positive integer will be 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 = 479001600
so that smallest positive integer is 479001600