All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
Identical Digit Baffle (
Posted on 20140908
)
Determine the largest five digit base14 positive integer such that when multiplied by a single base14 digit, the result is a six digit base14 positive integer with all digits identical.
No Solution Yet
Submitted by
K Sengupta
No Rating
Comments: (
Back to comment list
 You must be logged in to post comments.
)
calculator solution
Comment 2 of 2 
111111 (base 14) = 579195 (base 10) = 3^2*5*61*211,
so the single base 14 digit associated with the largest 5 digit solution is either 3 or 5 or 9.
8/9 is bigger than 2/3 or 4/5, so the final answer is
(8/9)*579195 = 514840 (base 10) =
D58A4 (base 14)
Posted by
Steve Herman
on 20140908 21:48:53
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 (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2017 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information