A Multiplication Based Logic Puzzle

244 and Level 6

  • 244 is a composite number.
  • Prime factorization: 244 = 2 x 2 x 61, which can be written 244 = (2^2) x 61
  • The exponents in the prime factorization are 2 and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1) = 3 x 2 = 6. Therefore 244 has 6 factors.
  • Factors of 244: 1, 2, 4, 61, 122, 244
  • Factor pairs: 244 = 1 x 244, 2 x 122, 4 x 61
  • Taking the factor pair with the largest square number factor, we get √244 = (√4)(√61) = 2√61 ≈ 15.6205

2014-38 Level 6

Print the puzzles or type the factors on this excel file: 12 Factors 2014-09-22

2014-38 Level 6 Logic

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