A Multiplication Based Logic Puzzle

232 and Level 1

  • 232 is a composite number.
  • Prime factorization: 232 = 2 x 2 x 2 x 29, which can be written (2^3) x 29
  • The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 232 has 8 factors.
  • Factors of 232: 1, 2, 4, 8, 29, 58, 116, 232
  • Factor pairs: 232 = 1 x 232, 2 x 116, 4 x 58, or 8 x 29
  • Taking the factor pair with the largest square number factor, we get √232 = (√4)( √58) = 2√58 ≈ 15.232.

2014-37 Level 1

Print the puzzles or type the factors on this excel file: 10 Factors 2014-09-15

 2014-37 Level 1 Factors

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