28 divisors

  • Thread starter ehrenfest
  • Start date
  • #1
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Homework Statement


Find the smallest number with 28 positive divisors.

28 = 14*2 or 7*4.

So, it is either 2^13*3 or 2^6*3^3, right?

Because 2^7 is manifestly larger than 3^2, it the latter, correct?


Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
morphism
Science Advisor
Homework Helper
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Sounds good to me.
 

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