A Multiplication Based Logic Puzzle

501 and Level 6

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 = 501. That was the first 18 prime numbers.

501 Puzzle

Print the puzzles or type the solution on this excel file: 12 Factors 2015-05-18

—————————————————————————————————

  • 501 is a composite number.
  • Prime factorization: 501 = 3 x 167
  • 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 501 has exactly 4 factors.
  • Factors of 501: 1, 3, 167, 501
  • Factor pairs: 501 = 1 x 501 or 3 x 167
  • 501 has no square factors that allow its square root to be simplified. √501 ≈ 22.383029

—————————————————————————————————

501 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