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Seven Divisibility Settlement (Posted on 2010-11-13) Difficulty: 3 of 5
M is a positive integer ≥ 2 such that 3M + 4M is divisible by M.

Is M always divisible by 7?

If so, prove it. Otherwise, provide a counterexample.

  Submitted by K Sengupta    
Rating: 3.0000 (3 votes)
Solution: (Hide)
Refer to the solution submitted by broll in this location, and its rejoinder by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Possible SolutionK Sengupta2024-05-07 02:38:49
re: Possible SolutionK Sengupta2024-05-07 02:38:24
re(2): Possible Solutionbroll2017-06-24 23:37:45
re: Possible SolutionBrian Smith2017-06-24 13:44:34
Possible Solutionbroll2010-11-13 12:39:18
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