A Multiplication Based Logic Puzzle

885 and Level 6

885 obviously is divisible by 5. Since it is exactly 3 numbers away from 888, it also can be evenly divided by 3 so adding up all its digits was not necessary to test for divisibility.

885 is the hypotenuse of a Pythagorean triple:

  • 531-708-885 which is (3-4-5) times 177

885 is palindrome 181 in BASE 26 because 1(26²) + 8(26) + 1(1) = 885

Print the puzzles or type the solution on this excel file: 10-factors-875-885

  • 885 is a composite number.
  • Prime factorization: 885 = 3 × 5 × 59
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 885 has exactly 8 factors.
  • Factors of 885: 1, 3, 5, 15, 59, 177, 295, 885
  • Factor pairs: 885 = 1 × 885, 3 × 295, 5 × 177, or 15 × 59
  • 885 has no square factors that allow its square root to be simplified. √885 ≈ 29.74894956

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