A Multiplication Based Logic Puzzle

Posts tagged ‘composite’

889 and Level 3

889 is a palindrome in bases 13 and 24:

It is 535 in BASE 13 because 5(13²) + 3(13) + 5(1) = 889.

It is 1D1 in BASE 24 (D is 13 base 10) because 1(24²) + 13(24) + 1(1) = 889.

Print the puzzles or type the solution on this excel file: 12 factors 886-896

  • 889 is a composite number.
  • Prime factorization: 889 = 7 × 127
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 889 has exactly 4 factors.
  • Factors of 889: 1, 7, 127, 889
  • Factor pairs: 889 = 1 × 889 or 7 × 127
  • 889 has no square factors that allow its square root to be simplified. √889 ≈ 29.816103

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581 and Level 3

A year ago I wrote a short, but heartfelt post for World Elephant Day. I invite you to read it or any other article that makes you aware of what you can do to protect elephants from poachers.

581 is the sum of consecutive primes two different ways: 191 + 193 + 197 = 581, and the sum of all the prime numbers from 19 to 71 also is 581.

581 Puzzle

Print the puzzles or type the solution on this excel file: 12 Factors 2015-08-10

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  • 581 is a composite number.
  • Prime factorization: 581 = 7 x 83
  • 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 581 has exactly 4 factors.
  • Factors of 581: 1, 7, 83, 581
  • Factor pairs: 581 = 1 x 581 or 7 x 83
  • 581 has no square factors that allow its square root to be simplified. √581 ≈ 24.10394

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A Logical Approach to solve a FIND THE FACTORS puzzle: 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.

581 Factors

 

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