All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Explain Plato's affinity (Posted on 2018-05-15) Difficulty: 2 of 5
Plato set 5040 as the ideal number of citizens in a city.

What so special about this number?

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Plato | Comment 1 of 3
I think it was because 5040 is divisible by all integers from 1 to 12 (except for 11).  So it is a good number for dividing into smaller groups of equal size.

5040 can also be divided by 144.

5040 is also 7!, but I don't think that was part of the reason.

  Posted by Larry on 2018-05-15 10:21:18
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information