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28 divisors

  1. Nov 17, 2007 #1
    1. The problem statement, all variables and given/known data
    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?

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Nov 18, 2007 #2


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    Sounds good to me.
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