A Multiplication Based Logic Puzzle

482 and Level 2

Can you determine the greatest common factor of the three numbers in this Pythagorean triple: 240-418-482? Hint: it is one of the factors of 482 listed below the puzzle.

482 Puzzle

Print the puzzles or type the solution on this excel file: 12 Factors 2015-05-04

—————————————————————————————————

  • 482 is a composite number.
  • Prime factorization: 482 = 2 x 241
  • 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 482 has exactly 4 factors.
  • Factors of 482: 1, 2, 241, 482
  • Factor pairs: 482 = 1 x 482 or 2 x 241
  • 482 has no square factors that allow its square root to be simplified. √482 ≈ 21.954498

—————————————————————————————————

 482 Factors

Advertisements

Comments on: "482 and Level 2" (2)

  1. Is the answer 2?

    2 is the GCF of the above numbers.

    Liked by 3 people

  2. ivasallay said:

    Yes! Sometimes the greatest common factor of a string of numbers is 2. Thanks for participating!

    Liked by 1 person

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