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 10 18 We “grow” this “tree” downwards since that is how we write in English (and we are not 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

4. 10 5 2 180 18 6 3 2 x 5 = 10 6 x 3 = 18 Find factors for 10 & 18

5. ARE WE DONE ??? 2 3 3 2 5 10 2 6 180 18 3 5 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 

6. Answer: C FCAT 2.0 Sample Test Question

7. FCAT 2.0 Test Spec. Item

8. MA.5.A.6.1 Identify and relate prime and composite numbers, factors and multiples within the context of fractions.