perplexus.info :: Numbers : Factorial Product Poser

Home > Numbers

Factorial Product Poser (Posted on 2025-02-27)

Determine all possible pairs (x, y) of nonnegative integers that satisfy this equation:

x!=120*(y!)

Prove that there are no further pairs in consonance with the given conditions.

No Solution Yet Submitted by K Sengupta

No Rating

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

re: More solutions

Comment 3 of 3 |

(In reply to More solutions by Steve Herman)

6! = 120*3! as well.

Later:

Oh, actually Jer had all these in his post, just not at the end and we missed them.

Edited on February 27, 2025, 9:57 am

Posted by Charlie on 2025-02-27 09:55:26

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info