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

Home > Numbers
A Sevens And Zeroes Problem (Posted on 2006-01-26) Difficulty: 4 of 5
Determine the smallest number constituted entirely by sevens and zeroes which is divisible by 61376.

How about for 107072?

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: And the second part. (Spoiler) | Comment 4 of 6 |
(In reply to And the second part. (Spoiler) by Leming)

Okay, please help me out on this one.  I figured out that factoring the divisor would be important, and each of the problems had factors of several 2s, one 7, and one larger prime.  So if you can take the factor of seven out of the problem and just look for the smallest number consisting of 1s and 0s.

My question is how does that translate into finding all 1s with that large prime as a factor?


  Posted by Bob Smith on 2006-01-27 08:01:12
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 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information