A Multiplication Based Logic Puzzle

221 and Level 3

  • 221 is a composite number.
  • Prime factorization: 221 = 13 x 17
  • 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 221 has 4 factors.
  • Factors of 221: 1, 13, 17, 221
  • Factor pairs: 221 = 1 x 221 or 13 x 17
  • 221 has no square factors so its square root cannot be simplified. √221 ≈ 14.866

2014-35 Level 3

Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-09-01

A Logical Approach to FIND THE FACTORS: Find the column or row with two clues and find their common factor. Write the corresponding factors in the factor column (1st column) and factor row (top row).  Because this is a level three puzzle, you have now written a factor at the top of the factor column. Continue to work from the top of the factor column to the bottom, finding factors and filling in the factor column and the factor row one cell at a time as you go.

2014-35 Level 3 Factors

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