A Multiplication Based Logic Puzzle

647 and Level 4

647 is the sum of the five prime numbers from 113 to 139.

647 appears in only one Pythagorean triple, the primitive 647-209304-209305.

647 Puzzle

Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12

—————————————————————————————————

  • 647 is a prime number.
  • Prime factorization: 647 is prime.
  • The exponent of prime number 647 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 647 has exactly 2 factors.
  • Factors of 647: 1, 647
  • Factor pairs: 647 = 1 x 647
  • 647 has no square factors that allow its square root to be simplified. √647 ≈ 25.43619.

How do we know that 647 is a prime number? If 647 were not a prime number, then it would be divisible by at least one prime number less than or equal to √647 ≈ 25.4. Since 647 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 647 is a prime number.

—————————————————————————————————

647 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