Number theory · Divisibility · Divisors of an integer · Counting divisors · Integer solutions

Problem 3, 2024

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For how many integers \(k\) is the number \(k + 6\) an integer multiple of the number \(k - 6\)?

  1. A \(0\)
  2. B \(4\)
  3. C \(6\)
  4. D \(8\)
  5. E \(12\)

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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), drzavno (national) round 2024, 1. letnik, category A, problem A3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source