## A Multiplication Based Logic Puzzle

### 22 Factor Trees

22 is a composite number. 22 = 1 x 22 or 2 x 11. Factors of 22: 1, 2, 11, 22. Prime factorization: 22 = 2 x 11.

When 22 is a clue in the FIND THE FACTORS 1 – 12 puzzles, use 2 and 11 as the factors.

‘Tis the season to use factor trees to find all the factors of a number. Here is a factor tree that shows all the prime factors of 560. Next to it is a factor tree for 324. Do you see all of their prime factors clearly?

Because sometimes one can’t “see the factors for the trees,” I recommend circling the prime factors or doing something else to make them more distinct.  Here are the trees again with every prime factor clearly visible:

I make logic puzzles based on the multiplication table. The puzzles for today’s post could also be called factor trees because you have to factor the clues to find the solution, and the puzzles are shaped like evergreen trees in whole or in part. I’ve even included a tree hanging from the ceiling, of all places! It may seem like a modern novelty, but people have been hanging Christmas trees upside down in Eastern Europe for centuries. To solve the puzzles either cut and paste the puzzles into a document to print or click 12 Factors 2013-12-12.

Here are some pictures of some actual upside down Christmas trees.