A Multiplication Based Logic Puzzle

131 and Level 4

  • 131 is a prime number.
  • Prime factorization: 131 is prime.
  • The exponent of prime number 131 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 131 has exactly 2 factors.
  • Factors of 131: 1, 131
  • Factor pairs: 131 = 1 x 131
  • 131 has no square factors that allow its square root to be simplified. √131 ≈ 11.4455

How do we know that 131 is a prime number? If 131 were not a prime number, then it would be divisible by at least one prime number less than or equal to √131 ≈ 11.4. Since 131 cannot be divided evenly by 2, 3, 5, 7, or 11, we know that 131 is a prime number.

131 is never a clue in the FIND THE FACTORS puzzles.

2014-21 Level 4

Excel file of puzzles and previous week’s solutions: 10 Factors 2014-05-26

2014-21 Level 4 Logic

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Comments on: "131 and Level 4" (2)

  1. Well, that one was harder, but once I got the 6’s squared away things fell into place.

    Like

  2. ivasallay said:

    There certainly were several places 6’s could have gone. Thanks for solving the puzzles week in and week out!

    Like

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