A Multiplication Based Logic Puzzle

297 and Level 2

  • 297 is a composite number.
  • Prime factorization: 297 = 3 x 3 x 3 x 11 which can be written 297 = 3³ x 11
  • The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 297 has exactly 8 factors.
  • Factors of 297: 1, 3, 9, 11, 27, 33, 99, 297
  • Factor pairs: 297 = 1 x 297, 3 x 99, 9 x 33, or 11 x 27
  • Taking the factor pair with the largest square number factor, we get √297 = (√9)(√33) = 3√33 ≈ 17.234

This multiplication table has only 14 clues. Is that enough to complete it?

2014-46 Level 2

Print the puzzles or type the factors on this excel file: 12 Factors 2014-11-17

2014-46 Level 2 Factors

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Comments on: "297 and Level 2" (1)

  1. Yes it is 🙂

    Liked by 1 person

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