perplexus.info :: Numbers : 15-Digits and Repunit Division

15-Digits and Repunit Division (Posted on 2010-01-07)

Determine all possible value(s) of a 15-digit base ten positive integer N which is constituted entirely by the digits 2 and 3, such that N is divisible by the base ten repunit R₇.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required number is 233333323333332.
For an explanation, refer to the analytical solution submitted by Jer in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytical Solution	Jer	2010-01-09 20:16:05
Basic solution	Charlie	2010-01-07 15:57:38
answer	Dej Mar	2010-01-07 13:28:49
mathematica solution	Daniel	2010-01-07 12:53:17

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:


perplexus dot info