Download Chapter 4: Factors, Fractions, and Exponents

To Start: 10 Points!!!

Simplify and Evaluate:
(-4)5
=(-4)(-4)(-4)(-4)(-4)
= -4,096!!
2x3 + 4y, for x=-3 and y=2
2(-3)3 + 4(2)
2(-27) + 8
-54 + 8
-46!!!!
Section 4.3: Prime Factorization and Greatest
Common Factor
Prime & Composite

A prime number is a positive integer greater than 1 with
exactly two factors, one and the number itself.
Ex. 2, 3, 5, 7
A composite number is a positive integer greater than 1
with more than two factors.
Ex. 4, 6, 8, 9, 10
Practice

Tell whether each number is prime or composite.
23
Prime – Only two factors, 1 & 23
129
Composite – it has more than two factors,
1, 3, 43, 129
Practice – You Try!

Tell whether each number is prime or composite.
19
Prime – Only two factors, 1 & 19
21
Composite – it has more than two factors,
1, 3, 7, 21
Prime Factorization

Writing a composite number as a product of its prime
factors shows the prime factorization of the number.
We will use a factor tree to find prime
factorizations
Factor Tree

Use a factor tree to write the prime factorization of 825.
825
165
5
5
33
3(5)2(11)=825
3
11
Factor Tree – You Try!!

Use a factor tree to write the prime factorization of 150.
150
30
5
5
6
2(3)(5)2=150
3
2
Factor Tree – You Try Again!

Use a factor tree to write the prime factorization of 225.
225
45
5
5
9
32(5)2=225
3
3
Greatest Common Factor

Any factors that are the same for two or more numbers
are common factors. The greatest of these common
factors is called the Greatest Common Factor. We will
use prime factorization to find the GCF. If there are no
prime factors in common, then the GCF is 1.
Find the Greatest Common Factor of
40 and 60

40
23 x 5
8
5
2
5
12
22 x 3 x 5
4
3
22
2
60
2
4
5
2
The GCF of 40 & 60 is: 22 x 5 = 20!!!
2
Find the Greatest Common Factor of
6a3b and 4a2b

6
4
2 x 3 x a3 x b
2
3
2 x 2 x a2 x b
2
2
2
a2 b
The GCF of 6a3b & 4a2b is: 2a2 b!!!
Find the Greatest Common Factor of
8 and 20

8
23
4
2
2
20
2
10
22 x 5
2
2
The GCF of 8 & 20 is: 22 = 4!!!
5
Homework!!!

Page 183:
1-14, 17-26, 29-40