Download Vocabulary. Examples. Check Understanding. 1 Prime Factorization

Name_____________________________________ Class____________________________ Date________________
Lesson 3-4 (pp. 145–149)
Prime Factorization
NAEP 2005 Strand: Number Properties and Operations
Topic: Properties of Number and Operations
Lesson Objectives
1 Find multiples and factors
2 Use prime factorization
Local Standards: ____________________________________
Vocabulary.
A multiple is
All rights reserved.
A least common multiple (LCM) is
A factor is
A composite number is
A prime number is
A greatest common factor (GCF) is
Examples.
1 Finding the Least Common Multiple Dan goes to the health club every
4 days. His sister Neesa goes there every 6 days. Dan and Neesa both went to
the health club today. When will they both go there on the same day again?
Find the least common multiple of 4 and 6.
Multiples of 4: 4, 8,
Multiples of 6: 6, 12,
The LCM of 4 and 6 is
in
,
,
,
, ...
, ...
d
List the first several
multiples of 4 and 6.
. So, they will both go to the health club
days.
Check Understanding.
1. Find the LCM of 4 and 10.
48
Lesson 3-4
Course 2 Daily Notetaking Guide
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
Prime factorization is
Name_____________________________________ Class____________________________ Date ________________
2 Finding Factors Find the factors of 48.
1
2
3
4
6
The factors of 48 are
d
Find pairs of numbers
with a product of 48.
.
3 Prime Numbers and Composite Numbers Tell whether each number is
prime or composite.
a. 17
Factors:
17 is a
number.
b. 22
Factors:
22 is a
number.
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4 Writing Prime Factorization Use a factor tree to write the prime
factorization of 90.
90
Prime S
Prime S
2 ?
d Write 90 as the product of any two of its factors.
5 ?
3 ?
Prime S
90 d Write
d Write
as the product of two factors.
as the product of two factors.
. Or, using exponents, you can write 90 2 5.
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
5 Finding the Greatest Common Factor Find the GCF of 32 and 48.
32 d Write the prime factorizations.
48 GCF The GCF of 32 and 48 is
d Find the product of the common factors.
.
Check Understanding.
2. Find the factors of 42.
3. Tell whether each number is prime or composite.
a. 15
b. 11
4. Write the prime factorization of 72. Use exponents where possible.
5. Find the GCF of 16 and 24.
Course 2 Daily Notetaking Guide
Lesson 3-4
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