A Multiplication Based Logic Puzzle

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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