1. Factors and Multiples of Whole Numbers
F&P Math 10

2. Definitions to Know
Prime Factorization – is the number written as a product of it’s prime factors
Prime Factors – When a factor of a number has exactly two divisors, 1 and itself

3. Definitions to Know
Composite Number – a number that is divisible by more than just 1 and itself
Prime numbers are blue
Composite numbers are orange

4. Prime Factoring Method #1 Factor Tree
Branch into factors of the main number.
Will branch out as you factor each side branch
Keep going until you have reached a prime number on that branch
Use exponents to show how many of each prime number you have factored
Order from smallest to largest base

5. Practice – Factor Tree Method
3300
138

6. Prime Factoring Method #2 Hockey Stick or Division Table
Only take our a prime factor at a time
The left column will be all the prime factors
The right column will be your composite that you continue until you have reached a prime in the right column
Order from smallest to largest base

7. Practice – Hockey Stick Method
198
340

8. Choose A Method and Practice27 36
685
1925

9. Why we need prime factors? GCF
We use them to find the greatest common factor between multiple numbers
Multiply only COMMON FACTORS together

10. Find the Greatest Common Factor (GCF)
90 and 225
154 and 198

11. Find the Greatest Common Factor (GCF)
245, 315, and 770
171, 285, and 399

12. Why we need prime factors? LCM
We use them to find the lowest common multiple
Multiply all factors, but take only the highest number of the factor

13. Find the Lowest Common Multiple (LCM)
15 and 35
126 and 441

14. Find the Lowest Common Multiple (LCM)
22, 154, and 198
58 and 124

15. Using Prime Factorization to Determine Perfect Square
Is 256 a perfect square?
Will result in two equal groups of prime factors

16. Using Prime Factorization to Determine Perfect Cube
Is 512 a perfect cube?
Will result in 3 equal groups of prime numbers

17. Today To Do: Start working through Prime Factorization worksheets
Homework  30 minutes of working on worksheets at home over the weekend