Factor Trees
- 1. GROWING A FACTOR TREE
- 2. Can we grow a tree of the factors of 180? 180 Can you think of one FACTOR PAIR for 180 ? This should be two numbers that multiply together to give the Product 180. You might see that 180 is an EVEN NUMBER and that means that 2 is a factor… 2 x = 180 ? Or You might notice that 180 has a ZERO in its ONES PLACE which means it is a multiple of 10. SO… 10 x = 180 Or You might notice that 180 has a ZERO in its ONES PLACE which means it is a multiple of 10. SO… 10 x = 180 10 x 18 = 180 10 18
- 3. 180 We “grow” this “tree” downwards since that is how we write in English (and we can’t be sure how big it will be - we could run out of paper if we grew upwards). NOW You have to find FACTOR PAIRS for 10 and 18 10 18
- 4. 10 180 18 2 x 5 = 10 6 x 3 = 18 Find factors for 10 & 18 5 2 6 3
- 5. ARE WE DONE ??? Since 2 and 3 and 5 are PRIME NUMBERS they do not grow “new branches”. They just grow down alone. Since 6 is NOT a prime number - it is a COMPOSITE NUMBER - it still has factors. Since it is an EVEN NUMBER we see that: 6 = 2 x 3 2 3 3 2 5 10 2 6 180 18 3 5
- 6. … and if we flip it over we can see why it is called a tree 2 3 3 2 5 10 2 6 180 18 3 5