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

Home > Numbers
50 - Digit Number II (Posted on 2005-05-13) Difficulty: 2 of 5
I am thinking of a fifty-digit number divisible by 239, of which, each digit is the same, except the ones digit. What is the ones digit?

See The Solution Submitted by Dustin    
Rating: 2.8000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: A systematic approach | Comment 5 of 11 |
If for some reason 11111111111111111111111111111111111111111111111110 mod 239 didn't equal 0, you wouldn't need to check the number 2222222....0, 33333.......0, etc. because 239 is prime, and therefore no number can be added an integer amount of times to eliminate the remainder. So therefore, you only need to check 11111111111111111111111111111111111111111111111110 mod 239.
  Posted by Justin on 2005-05-13 21:18:35
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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information