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9! (Posted on 2005-02-28) Difficulty: 2 of 5

Find nine single digit numbers (other than 1, 2, 3, ..., and 9) with a sum of 45 and a product of 9! (362,880).

For instance, 2, 2, 3, 4, 5, 6, 7, 8, 8 add up to 45, but their product is 645,120.

Try finding the answer without the use of a program.

  Submitted by Erik O.    
Rating: 3.0000 (1 votes)
Solution: (Hide)

e.g. points out that 3x6x8=4x4x9, and 3+6+8=4+4+9, which makes it easy to see that the solution is:

1, 2, 4, 4, 4, 5, 7, 9, 9

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionPuzzle Solution With ExplanationK Sengupta2008-03-24 12:17:11
AnswerK Sengupta2008-03-21 15:04:49
re: SolutionKardo2005-03-27 12:01:12
SolutionSolutionKardo2005-03-27 11:54:25
SolutionWhat I didMatt2005-03-22 15:24:30
re(2): thoughts (OK, I tried, but...) (spoiler)john2005-03-04 20:35:35
re: SolutionCharlie2005-03-01 17:56:58
SolutionSolutionTristan2005-02-28 23:52:03
Possible Answersteve2005-02-28 21:09:28
Solutionre: thoughts (OK, I tried, but...) (spoiler)Charlie2005-02-28 16:24:48
Some ThoughtsthoughtsCharlie2005-02-28 16:15:59
Hint - Don't PeekRichard2005-02-28 15:59:36
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