A Multiplication Based Logic Puzzle

328 and Level 6

  • 328 is a composite number.
  • Prime factorization: 328 = 2 x 2 x 2 x 41, which can be written (2^3) x 41
  • 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 328 has exactly 8 factors.
  • Factors of 328: 1, 2, 4, 8, 41, 82, 164, 328
  • Factor pairs: 328 = 1 x 328, 2 x 164, 4 x 82, or 8 x 41
  • Taking the factor pair with the largest square number factor, we get √328 = (√4)(√82) = 2√82 ≈ 18.111

Will these 13 clues stump you?

2014-50 Level 6

Print the puzzles or type the factors on this excel file: 12 Factors 2014-12-15

2014-50 Level 6 Logic

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Comments on: "328 and Level 6" (1)

  1. Well, it’s hard to set up a tree so it stays perfectly vertical.

    Liked by 1 person

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