perplexus.info :: Numbers : 5 ways of factorizing

Home > Numbers

5 ways of factorizing (Posted on 2018-07-07)

What is the smallest number that can be shown as a difference between two squares in 5 different ways?

See The Solution Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

A lower spoiler

| Comment 2 of 3 |

I like xdog's methodology, but I think a lower number that qualifies is 144.

144 can be factored as (2*72),(4*36),(6*24),(8,18) and (12,12)

This leads to squares (37,35), (20,16), (15,9), (13,5) and (12,0)

The last one is controversial, but I argue that 144 = 12^2 - 0^2

Posted by Steve Herman on 2018-07-07 19:08:31

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info