A Multiplication Based Logic Puzzle

354 and Level 4

354 is even and thus divisible by 2, so 354 is a composite number. Scroll down past the puzzle to see its factors.

354 Puzzle

  • 354 is a composite number.
  • Prime factorization: 354 = 2 x 3 x 59
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 x 2 x 2 = 8. Therefore 354 has exactly 8 factors.
  • Factors of 354: 1, 2, 3, 6, 59, 118, 177, 354
  • Factor pairs: 354 = 1 x 354, 2 x 177, 3 x 118, or 6 x 59
  • 354 has no square factors that allow its square root to be simplified. √354 ≈ 18.815

Print the puzzles or type the factors on this excel file: 12 Factors 2015-01-12

354 Logic

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