A Multiplication Based Logic Puzzle

310 and Level 1

  • 310 is a composite number.
  • Prime factorization: 310 = 2 x 5 x 31
  • 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 310 has exactly 8 factors.
  • Factors of 310: 1, 2, 5, 10, 31, 62, 155, 310
  • Factor pairs: 310 = 1 x 310, 2 x 155, 5 x 62, or 10 x 31
  • 310 has no square factors that allow its square root to be simplified. √310 ≈ 17.607

This simply wrapped puzzle gift box is very easy to unravel.

2014-48 Level 1

Print the puzzles or type the factors on this excel file: 12 Factors 2014-12-01

2014-48 Level 1 Factors

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Comments on: "310 and Level 1" (2)

  1. The sprinkling of snow over the box doesn’t start right away. As I stared at the puzzle the snow was a sweet (or chilly) surprise.

    Like

  2. Oh, the wrapping’s great.

    Like

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