A Multiplication Based Logic Puzzle

167 and Level 1

  • 167 is a prime number.
  • Prime factorization: 167 is prime.
  • The exponent of prime number 167 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 167 has exactly 2 factors.
  • Factors of 167: 1, 167
  • Factor pairs: 167 = 1 x 167
  • 167 has no square factors that allow its square root to be simplified. √167 ≈ 12.9228

How do we know that 167 is a prime number? If 167 were not a prime number, then it would be divisible by at least one prime number less than or equal to √167 ≈ 12.9. Since 167 cannot be divided evenly by 2, 3, 5, 7, or 11, we know that 167 is a prime number.

2014-27 Level 1

Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-07-07

2014-27 Level 1 Factors

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