For this problem, only positive whole numbers are to be considered. What is the smallest number that has exactly 16 numbers (including 1 and itself) that divide into it without remainder? Proof?

(In reply to Answer by Old Original Oskar!)

I thought there might be some paradoxical way to include a larger factor or power and get a smaller answer, so I ran a quick brute force program that confirmed 120 as the answer. 

Posted by Penny on 2005-02-03 17:23:49