113 and Level 5

  • 113 is a prime number.
  • Prime factorization: 113 is prime.
  • The exponent of prime number 113 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 113 has exactly 2 factors.
  • Factors of 113: 1, 113
  • Factor pairs: 113 = 1 x 113
  • 113 has no square factors that allow its square root to be simplified. √113 ≈ 10.6301

How do we know that 113 is a prime number? If 113 were not a prime number, then it would be divisible by at least one prime number less than or equal to √113 ≈ 10.6 Since 113 cannot be divided evenly by 2, 3, 5, or 7, we know that 113 is a prime number.

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

2014-18 Level 5

Excel file of puzzles and the previous week’s solutions: 12 Factors 2014-05-05

2014-18 Level 5 Logic

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