A Multiplication Based Logic Puzzle

222 and Level 4

  • 222 is a composite number.
  • Prime factorization: 222 = 2 x 3 x 37
  • 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 x 2 x 2 = 8. Therefore 222 has 8 factors.
  • Factors of 222: 1, 2, 3, 6, 37, 74, 111, 222
  • Factor pairs: 222 = 1 x 222, 2 x 111, 3 x 74, or 6 x 37
  • 222 has no square factors so its square root cannot be simplified. √222 ≈ 14.8997.

2014-35 Level 4

Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-09-01

2014-35 Level 4 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