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Niners (Posted on 2002-10-23) Difficulty: 4 of 5
The set of numbers {9, 99, 999, 9999, ...} has some interesting properties. One of these has to do with factorization. Take any number n that isn't divisible by 2 or by 5. You will be able to find at least one number in the set that is divisible by n. Furthermore, you won't need to look beyond the first n numbers in the set.

Prove it.

(from http://www.ocf.berkeley.edu/~wwu/riddles/)

See The Solution Submitted by levik    
Rating: 4.2500 (8 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Here is my proofspinoza2003-06-01 03:10:02
SolutionHere is my proofBrian Smith2003-05-08 06:26:33
re(2): Need some math theory help over hereGamer2003-05-03 16:44:52
re: Need some math theory help over hereCory Taylor2003-03-06 04:57:23
Need some math theory help over hereBryan2003-03-05 10:37:34
SolutionThanks to EulerVikram2002-12-31 07:43:12
ninersmartin2002-12-07 14:36:36
re(4):Cheradenine2002-10-24 03:00:04
re(4):TomM2002-10-24 01:42:03
Solutionre(3):TomM2002-10-24 01:32:40
re(2):Cheradenine2002-10-23 22:56:37
Some Thoughtsre:levik2002-10-23 17:27:24
Some ThoughtsHmmm...Dulanjana2002-10-23 14:54:29
Some ThoughtsNo SubjectCheradenine2002-10-23 05:43:07
Firstlylevik2002-10-23 04:56:42
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