#math trivia #174 solution

Answer: The next tri-composite after 174 is 182, which is the product of the three distinct prime factors 2, 7 and 13. (I found this by trial and error, testing consecutive numbers.)

Note:  One might argue that 180 is also a tri-composite, because it is divisible by three distinct primes, 2, 3 and 5. However, it is not equal to their product; both 2 and 3 are repeated factors. The definition of tri-composite given requires that the number be the product of the three prime factors. A different definition might count just the number of distinct prime divisors, in which case 180 would be the next tri-composite.

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