A Multiplication Based Logic Puzzle

615 and Level 1

615 is the hypotenuse of four Pythagorean triples. Can you find the greatest common factor for each triple?

  • 135-600-615
  • 252-561-615
  • 369-492-615
  • 399-468-615

615 Puzzle

Print the puzzles or type the solution on this excel file: 10 Factors 2015-09-14

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  • 615 is a composite number.
  • Prime factorization: 615 = 3 x 5 x 41
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 x 2 x 2 = 8. Therefore 615 has exactly 8 factors.
  • Factors of 615: 1, 3, 5, 15, 41, 123, 205, 615
  • Factor pairs: 615 = 1 x 615, 3 x 205, 5 x 123, or 15 x 41
  • 615 has no square factors that allow its square root to be simplified. √615 ≈ 24.79919.

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615 Factors

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