mimpre Determining the Largest Potential Factor to Check To determine all of the factors of a whole number, we will find all the pairs of whole numbers whose product is the number. We will check all the numbers whose square is less than or equal to the number we are trying to factor. To help, the table of perfect squares is to the right. In this problem, our goal is to determine the largest number we need to check. The first row shows an example. here to search Number to Factor Example 42 74 21 45 148 90 53 Perfect Squares the Number Lies Between Enter the perfect squares the number lies between. 36 < 42 < 49 <<74< <21 < <45 148 < <90 <53< Table of Perfect Squares 2² = 4 8² = 64 32 9 92 = 81 16 102 = 100 25 11² = 121 42 52 62 72 36 122 = 144 49 13² = 169 Largest Potential Factor to Check The smaller number that was squared is the largest potential factor that you need to check. 6 63°F Clear

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 60E
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Determining the Largest Potential Factor to Check
To determine all of the factors of a whole number, we will find all the pairs of whole
numbers whose product is the number.
We will check all the numbers whose square is less than or equal to the number we
are trying to factor. To help, the table of perfect squares is to the right.
In this problem, our goal is to determine the largest number we need to check. The first
row shows an example.
here to search
Number to Factor
Example
42
74
21
45
148
90
53
J
O
Perfect Squares the Number Lies Between
Enter the perfect squares the number lies between.
36 < 42 < 49
10
<74 <
<21
<45
148
<90
<53<
Table of Perfect Squares
8² = 64
92 = 81
10²= 100
2² = 4
3² = 9
42 16
52 25 11² = 121
6² 36 122 144
72 = 49 13² = 169
Largest Potential Factor
to Check
The smaller number that
was squared is the
largest potential factor
that you need to check.
6
63°F Clear
Transcribed Image Text:Determining the Largest Potential Factor to Check To determine all of the factors of a whole number, we will find all the pairs of whole numbers whose product is the number. We will check all the numbers whose square is less than or equal to the number we are trying to factor. To help, the table of perfect squares is to the right. In this problem, our goal is to determine the largest number we need to check. The first row shows an example. here to search Number to Factor Example 42 74 21 45 148 90 53 J O Perfect Squares the Number Lies Between Enter the perfect squares the number lies between. 36 < 42 < 49 10 <74 < <21 <45 148 <90 <53< Table of Perfect Squares 8² = 64 92 = 81 10²= 100 2² = 4 3² = 9 42 16 52 25 11² = 121 6² 36 122 144 72 = 49 13² = 169 Largest Potential Factor to Check The smaller number that was squared is the largest potential factor that you need to check. 6 63°F Clear
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