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

Home > Just Math
Maximum Power 2 Divide Evenly (Posted on 2008-10-19) Difficulty: 3 of 5
Determine the maximum value of a positive integer G, such that (20071024 -1) is evenly divisible by 2G.

Note: Try to solve this problem analytically, although computer program/ spreadsheet solutions are welcome.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution No Subject Comment 2 of 2 |

(20071024 -1)  EQUALS

(2007512 +1)(2007256+1)(2007128 +1)(200764 +  1)(200732 +1)(200716 +1)(20078 +1)(20074 +1)(20072+1) (2007 +1)) (2007-1)

first 9 factors  are divisible   each by 2

(2007 +1)   divusible by 8 and (2007-1)  by 2

 

So G=9+3+1=13 


  Posted by Ady TZIDON on 2008-10-19 17:31:16
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
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:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information