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What is the smallest positive integer with exactly thirty positive divisors?

 Oct 29, 2019
 #1
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6! =720 has exactly 30 divisors.

 Oct 29, 2019
 #2
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2^4 * 3^2 * 5^1    = 720

 

The number of divisors   =

 

(4 +1) (2 + 1) + (1 + 1)  =

 

(5) (3) (2)  =

 

15   *  2   =

 

30

 

cool cool cool

 Oct 29, 2019

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