A Multiplication Based Logic Puzzle

415 and Level 4

415 is obviously a multiple of 5 so it is a composite number. Scroll down past the puzzle to view its other factors.

415 Puzzle

Print the puzzles or type the factors on this excel file: 10 Factors 2015-03-02

  • 415 is a composite number.
  • Prime factorization: 415 = 5 x 83
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 415 has exactly 4 factors.
  • Factors of 415: 1, 5, 83, 415
  • Factor pairs: 415 = 1 x 415 or 5 x 83
  • 415 has no square factors that allow its square root to be simplified. √415 ≈ 20.3715

415 Logic

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Comments on: "415 and Level 4" (2)

  1. abyssbrain said:

    It’s also interesting to note that 415 is the sum of five consecutive squares

    7² + 8² + 9² + 10² + 11² = 415

    Liked by 1 person

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