211 and Level 5

  • 211 is a prime number.
  • Prime factorization: 211 is prime.
  • The exponent of prime number 211 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 211 has exactly 2 factors.
  • Factors of 211: 1, 211
  • Factor pairs: 211 = 1 x 211
  • 211 has no square factors so its square root cannot be simplified. √211 ≈ 14.526

How do we know that 211 is a prime number? If 211 were not a prime number, then it would be divisible by at least one prime number less than or equal to √211 ≈ 14.526. Since 211 cannot be divided evenly by 2, 3, 5, 7, 11, or 13, we know that 211 is a prime number.

 2014-33 Level 5

Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-08-18

2014-33 Level 5 Logic

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