A Multiplication Based Logic Puzzle

243 and Level 5

  • 243 is a composite number.
  • Prime factorization: 243 = 3 x 3 x 3 x 3 x 3, which can be written 243 = (3^5)
  • The exponent in the prime factorization is 5. Adding one we get (5 + 1) = 6. Therefore 243 has 6 factors.
  • Factors of 243: 1, 3, 9, 27, 81, 243
  • Factor pairs: 243 = 1 x 243, 3 x 81, or 9 x 27
  • Taking the factor pair with the largest square number factor, we get √243 = (√3)(√81) = 9√3 ≈ 15.588

Happy birthday, Sue

This puzzle is for my sister, who is great at completing these Level 5 puzzles. Here is a black and white version for those who may prefer it:

2014-38 Level 5

Print the puzzles or type the factors on this excel file: 12 Factors 2014-09-22

2014-38 Level 5 Logic

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Comments on: "243 and Level 5" (1)

  1. Oh, I like the color version! Cute.

    Like

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