A Multiplication Based Logic Puzzle

284 and Level 1

  • 284 is a composite number.
  • Prime factorization: 284 = 2 x 2 x 71, which can be written 284 = (2^2) x 71
  • The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1) = 3 x 2  = 6. Therefore 284 has exactly 6 factors.
  • Factors of 284: 1, 2, 4, 71, 142, 284
  • Factor pairs: 284 = 1 x 284, 2 x 142, or 4 x 71
  • Taking the factor pair with the largest square number factor, we get √284 = (√4)(√71) = 2√71 ≈ 16.852

2014-44 Level 1

Print the puzzles or type the factors on this excel file: 12 Factors 2014-11-03

2014-44 Level 1 Factors

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