A Multiplication Based Logic Puzzle

894 and Level 5

894 is the hypotenuse of a Pythagorean triple: 306-840-894

894 is also palindrome 626 in BASE 12 because 6(144) + 2(12) + 6(1) = 894

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

  • 894 is a composite number.
  • Prime factorization: 894 = 2 × 3 × 149
  • 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 894 has exactly 8 factors.
  • Factors of 894: 1, 2, 3, 6, 149, 298, 447, 894
  • Factor pairs: 894 = 1 × 894, 2 × 447, 3 × 298, or 6 × 149
  • 894 has no square factors that allow its square root to be simplified. √894 ≈ 29.89983

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

Tag Cloud