1. FACTORS

2. Factors are the numbers you multiply together to get a product.
For example, the product 24 has several factors.
24 = 1 x 24
24 = 2 x 12
24 = 3 x 8
24 = 4 x 6
SO, the factors are 1, 2, 3, 4, 6, 8, 12, 24

3. FINDING FACTORS Start with 1 x the number. Try 2, 3, 4, etc.
When you repeat your factors, cross out the repeat - you’re done at this point.
If you get doubles (such as 4 x 4), then you’re done. Repeats or doubles let you know you’re done.

4. What are the factors of 16? The factors of 16 are 1,2,4,8,16 1 x 16
3 is not a factor, so cross it out
4 x 4
doubles = done
The factors of 16 are 1,2,4,8,16

5. What are the factors of 18? The factors are 1,2,3,6,9,18 1 x 18 2 x 9
Repeat! Cross it out! We’re done!
6 x 3
The factors are 1,2,3,6,9,18

6. Find all the factors of each number
Find all the factors of each number. List them in order from least to greatest.
25 ______. _______, _______
27 _____, ______, _______,_______
12 _____, _____, ______, _______, ______, _______.
15 _______, _______, _______ ,_______.
3 _______, ________.

7. How to find Prime Factors?
Step 1 – Start with a composite number. 48
Step 2 – Write down a multiplication that equals
this number or any pair of factors of this number.
6 x 8 = 48

8. How to Do Prime Factorization Using a Factor Tree
Step 3 – Find factors of the numbers (factor ) you
got in step 2. 48
6 x 8
2 x 3 x 2 x 4

9. Step 4 – Find factors of these numbers
until all factors are prime numbers. 48
6 x 8
2 x 3 x 2 x 4
2 x 3 x 2 x 2 x 2

10. 2 x 2 x 2 x 2 x 3 Step 6 – Count how many numbers are
the same and write exponents for them.
2 x x 2 x 2 x 3 4
2 x 3 = 48

11. WORKING TOGETHER!!!!!!!

12. Prime factor this number4

13. Prime factor this number4
= 4
2 x 2 2
2 = 4

14. Prime factor this number6

15. Prime factor this number6
= 6
2 x 3

16. Prime factor this number22

17. Prime factor this number22
2 x 11
= 22

18. Prime factor this number12

19. Prime factor this number12
= 12
3 x 4
3 x 2 x 2 = 12
2 x 2 x 3 = 12 2
2 x 3 = 12

20. Prime factor this number21

21. Prime factor this number21
= 21
3 x 7

23. Find the prime factors of these numbers