A Multiplication Based Logic Puzzle

375 and Level 6

375 is a composite number because its last digit is 5. Scroll down below the puzzle to see its factoring information.

375 Puzzle

Print the puzzles or type the factors on this excel file:12 Factors 2015-01-26

  • 375 is a composite number.
  • Prime factorization: 375 = 3 x 5 x 5 x 5, which can be written 375 = 3 x (5^3)
  • The exponents in the prime factorization are 1 and 3. Adding one to each and multiplying we get (1 + 1)(3 + 1) = 2 x 4 = 8. Therefore 375 has exactly 8 factors.
  • Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375
  • Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25
  • Taking the factor pair with the largest square number factor, we get √375 = (√15)(√25) = 5√15 ≈ 19.365

375 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