A Multiplication Based Logic Puzzle

  • 318 is a composite number.
  • Prime factorization: 318 = 2 x 3 x 53
  • 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 318 has exactly 8 factors.
  • Factors of 318: 1, 2, 3, 6, 53, 106, 159, 318
  • Factor pairs: 318 = 1 x 318, 2 x 159, 3 x 106, or 6 x 53
  • 318 has no square factors that allow its square root to be simplified. √318 ≈ 17.833

This factoring tree gif solves and completes this Level ONE puzzle right before your eyes. Scroll down to see three possible factor trees for the number 318.

Christmas tree factor puzzle on Make A Gif

make animated gifs like this at MakeAGif

318 Christmas Factor Trees

Print the puzzles or type the factors on this excel file: 10 Factors 2014-12-08

 

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Comments on: "318 Christmas Factor Tree Gif" (2)

  1. Hey, very clever!

    Like

  2. […] you: the animation of the unlabeled pages of the book.  Special thanks to Iva Sallay, who put an animated gif puzzle on her Find the Factors site, for giving me the confidence to figure out how to do this. If the box […]

    Like

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