Page 134 - Math Course 1 (Book 1)

Factoring

Mo. 4

Lesson 3

Prime Factorization
KEY CONCEPTS:
1. Write the prime factorizations of composite When a composite number is expressed as the
numbers. product of prime factors, it is called the prime
factorization of the number.
2. Factor monomials.
Circle the prime 1092
as they appear.
MO. 4 - L3a 2 546
Prime Factors:
Writing Prime 2, 3, 2, 7, 13 3 182
Factorization
2 91

Vocabulary A-Z 7 13
Let us learn some vocabulary
Factor Tree 24

One way to f nd the prime 2 12
factorization of a number is
Prime Number to use a factor tree. 2 3 4

is a whole number that has exactly two factors, 1 2 3 2 2
and itself.

Whole Number of
Numbers Factors Factors Let’s Begin

2 1, 2 2

Prime 3 1, 3 2 Identify Numbers as Prime or
Numbers
5 1, 5 2 Composite

7 1, 7 2
Examples
Composite Number
Determine whether 31 is prime or composite.
is a whole number that has more than two factors.
Find factors of 31 by listing the whole number
Whole Number of pairs whose product is 31.
Numbers Factors Factors
31 = 1 × 31
4 1, 2, 4 3
The number 31 has only two factors.
Composite 6 1, 2, 3, 6 4
Numbers
8 1, 2, 4, 8 4 Answer Therefore, 31 is a prime
number.
9 1, 3, 9 3

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