Prime Time Lesson 4 1 The Product Puzzle
- Slides: 7
Prime Time Lesson 4. 1 The Product Puzzle: Learning to Factorize 840
Searching for Factor Strings • Some numbers can be written as the product of several different pairs of factors. For example, 100 can be written as: 1 x 100, 2 x 50, 4 x 25 when using only factor pairs. • Sometimes we can find other factors within our factor pairs. For example, 100 can also be written as: 2 x 25, 2 x 5 x 10 and 2 x 5 x 2 x 5!
The Product Puzzle • The Product Puzzle is a number-search puzzle in which you look for strings of factors with a product of 840. • This is an example of The Product Puzzle.
Product Puzzle Goal How many factor strings can you find? • The goal of the product puzzle is to find as many factor strings of 840 as you can. • For example, I know that 2 x 420 is a factor pair of 840. I will then use my pencil to draw a line through the numbers 2 and 420.
Product Puzzle • As I continue working on my puzzle, I think to myself, “what other factors can be created? ” • I know that 42 X 20 is also a factor pair of 840. By crossing out these factors, I then know that I can also cross out 21 x 2 x 4 x 5 because I know that 21 x 2 are factors of 42 and 4 x 5 are factors of 20!
Product Puzzle • Continue to play crossing out as many factors as you can that make 840!
Product Puzzle
