A Multiplication Based Logic Puzzle

196 and Level 4

  • 196 is a composite number.
  • Prime factorization: 196 = 2 × 2 × 7 × 7, which can be written 196 = 2² × 7²
  • The exponents in the prime factorization are 2 and 2. Adding one to each and multiplying we get (2 + 1)(2 + 1) = 3 × 3 = 9. Therefore 196 has exactly 9 factors.
  • Factors of 196: 1, 2, 4, 7, 14, 28, 49, 98, 196
  • Factor pairs: 196 =  1 × 196, 2 × 98, 4 × 49, 7 × 28, or 14 × 14
  • 196 is a perfect square. √196 = 14

13 and 14 squared

2014-08-07

Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-08-04

2014-31 Level 4 Logic

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Comments on: "196 and Level 4" (2)

  1. Ooo! What a pretty post!! You’ve included all my favorite colors alongside some of my favorite numbers.

    Like

  2. ivasallay said:

    Thank you! Your posts always have the prettiest graphics, so I really appreciate your comment!

    Like

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