A Multiplication Based Logic Puzzle

173 and Level 6

173 is a prime number.
Factor pairs: 173 = 1 x 173
Factors of 173: 1, 173
Prime factorization: none

 

How do we know that 173 is a prime number? The square root of 173 is an irrational number approximately equal to 13.15. If 173 were not a prime number, then it would be divisible by at least one prime number less than or equal to 13.15. Since 173 cannot be divided evenly by 2, 3, 5, 7, 11, or 13, we know that 173 is a prime number.

2014-27 Level 6

Excel file of puzzles and previous week’s factor solutions: 10 Factors 2014-07-07

2014-27 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