A Multiplication Based Logic Puzzle

149 and Level 2

149 is a prime number. Factor pairs: 149 = 1 x 149. Its only factors are 1 and 149. Prime factorization: none.

How do we know that 149 is a prime number? The square root of 149 is an irrational number approximately equal to 12.21. If 149 were not a prime number, then it would be divisible by at least one prime number less than or equal to 12.21. Since 149 cannot be divided evenly by 2, 3, 5, 7, or 11, we know that 149 is a prime number.

2014-24 Level 2

Excel file of puzzles and previous week’s factor solutions: 12 Factors 2014-06-16

2014-24 Level 2 Factors

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