A Multiplication Based Logic Puzzle

344 and Level 2

Quick Prime or Composite Number Test: 344 is even and thus divisible by 2, so 344 is a composite number.

344 Puzzle

Print the puzzles or type the factors on this excel file: 10 Factors 2015-01-05

  • 344 is a composite number.
  • Prime factorization: 344 = 2 x 2 x 2 x 43, which can be written (2^3) x 43
  • 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 344 has exactly 8 factors.
  • Factors of 344: 1, 2, 4, 8, 43, 86, 172, 344
  • Factor pairs: 344 = 1 x 344, 2 x 172, 4 x 86, or 8 x 43
  • Taking the factor pair with the largest square number factor, we get √344 = (√4)(√86) = 2√86 ≈ 18.547

344 Factors

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