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GingerAle

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 #2
avatar+2236 
+2

Solution (using a mathematical construction):

 

The prime factors of 3240=233451Assemble the primes as multiples of three (3), and count each construction. For 3240: There can be (0, 1, 2, or 3) twos (2) in the construction of a divisor.  So there are a total of four (4) ways to use a two (2) –one of the ways is to not use it.  There can be (1, 2, 3 or 4) threes (3) in the construction of a divisor. Note that for a number to be a multiple of three (3), the number must have at least one multiple of three (3) - that is, there cannot be a zero (0) number of threes (3). So there are a total of four (4) ways to use a three (3).  There can be (0 or 1) fives (5) in the construction of a divisor.  So there are a total of two (2) ways to use a five (5) –one of the ways is to not use it. The product of these counts is 442=32 There are 32 divisors of 3240 that are multiples of three (3). 

 

 

 

 

GA

13.11.2018
 #8
avatar+2236 
+1

Hi Melody,

This guest post isn’t mine.  This is Mr. BB(2). I suppose I could imitate him using a “monkey see, monkey do” method. To make it more natural, I’d need to eat a few pot-laced brownies and chase them with banana daiquiris infused with 1800 imperial minims of over-proof rum. But I usually just stay sober and troll the BB’s typical dumbness. Here, JB trolls this BB by using my proxy: https://web2.0calc.com/questions/dice-help#r2. JB did an excellent job of throwing this BB off the Troll’s bridge.

 

This post is much better than his usual inept, sloppy fare. He actually replies with a coherent and usable formula giving its reference, instead of a general equation with an incoherent narrative of BS describing how he derived his answer.  Mr. BB has referenced this post before, here: https://web2.0calc.com/questions/the-minimum-number#r3 Apparently he has a great affinity for Naus’ generating function leading to a modified Sterling number. 

Nauseated’s presentation is a wonder, for sure!

 

 

GA

 

PS You're welcome smiley

06.11.2018