A Multiplication Based Logic Puzzle

217 and Level 5

  • 217 is a composite number.
  • Prime factorization: 217 = 7 x 31
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 217 has 4 factors.
  • Factors of 217: 1, 7, 31, 217
  • Factor pairs: 217 = 1 x 217 or 7 x 31
  • Since 217 has no square factors, its square root cannot be simplified. √217 ≈ 14.731

2014-34 Level 5

Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-08-25

2014-34 Level 5 Logic

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