A Multiplication Based Logic Puzzle

277 and Level 2

  • 277 is a prime number.
  • Prime factorization: 277 is prime and cannot be factored.
  • The exponent of prime number 277 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 277 has exactly 2 factors.
  • Factors of 277: 1, 277
  • Factor pairs: 277 = 1 x 277
  • 277 has no square factors that allow its square root to be simplified. √277 ≈ 16.643

How do we know that 277 is a prime number? If 277 were not a prime number, then it would be divisible by at least one prime number less than or equal to √277 ≈ 16.643. Since 277 cannot be divided evenly by 2, 3, 5, 7, 11, or 13, we know that 277 is a prime number.

What can a level 2 puzzle do? See https://twitter.com/missradders/status/524966824098934785

2014-43 Level 2

Print the puzzles or type the factors on this excel file: 10 Factors 2014-10-27

2014-43 Level 2 Factors

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