A Multiplication Based Logic Puzzle

213 and Level 1

  • 213 is a composite number.
  • Prime factorization: 213 = 3 x 71
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 213 has 4 factors.
  • Factors of 213: 1, 3, 71, 213
  • Factor pairs: 213 = 1 x 213 or 3 x 71
  • Since 213 has no square factors, the square root of 213 cannot be simplified. √213 ≈ 14.595

I recommend reading a-math-book-to-change-your-teaching, an article written by a fellow blogger about a book that simplifies the teaching of mathematics while making the subject more meaningful for students.

2014-34 Level 1

 

Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-08-25

2014-34 Level 1 Factors

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