Transcript Essential Question & Warm Up

Essential Question & Warm Up
Essential Question:
How do you factor a
number?
Big Idea:
Why is it important
to know how to
factor a number?
Warm Up:
NOTHING!!
Greatest Common Factors
with Polynomials
Lesson 10 – 1
Page 558 - 563
What is a Prime number?
A prime number is a whole number that
only has two factors: 1 and itself.
Example: 13
13 only has 2 factors
1 × 13 = 13
And it cannot be factored down any
further than that.
Factorization of a Prime Number
13
13
1
This tells us
that 13 has no
other factor
other than itself
and one.
What is a Composite number?
A composite number is a whole number
greater than one that has more than two
factors.
Example: 100
Has more than 2 factors.
2 × 50 = 100 4 × 25 = 100
1 ×100=100
Factoring of a Composite Number
100
10
5
10
2
5
2
This tells us
that the
number 100 is
composite.
Final factors
are
5² ×2²
GCF
GCF stands for Greatest Common Factor.
GCF is the greatest number that is a factor
of all the integers .
Example
The factorization for the
two numbers is
632 = 2×2×2×79
948 = 2×2×3×79
Take the factors that both
numbers have in
common and multiply
them to get your
Greatest Common
Factor
2×2×79 = 316 = GCF
632
4
158
2
2
2
79
948
79
12
4
2
3
2
Factoring Polynomials – using GCF
60a²
And
24a³
After you factor them
out, you write out the
factors they have in
common and multiply,
giving you the GCF
2²a² = GCF
6
3
2
60a²
6
3
10
2
5
a
a
2
24a³
4
2
a
2
a
a
Practice Problems
 Find the GCF of:
180 and 54
 Find the GFC of:
34at² and 62a²t¹²
 Find the GCF of:
260 and 920
 Find the GCF of:
565a² and 797a²p²
 Find the GCF of:
32 and 20
 Find the GCF of:
64a² and 92a²