PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 2.5, Problem 271E
In the following exercises, find the prime factorization of each number using the factor tree method.
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Find the GCF of each list of numbers:
(a) 21 and 140, (b) 24, 60, and 96, and
(с) 9, 10, and 30
We will prime factor each number in the list. Then we will identify the common
prime factors and find their product.
The product of the common prime factors is the GCF of the numbers in the list.
(a) The prime factorization of each number is shown:
21 =
• 7
140
= 2 •
5 : 7
This can be written as 22.5•7.
Since the only prime factor common to 21 and 140 is 7, the GCF of 21 and 140 is 7.
(b) To find the GCF of three numbers, we proceed in a similar way by first finding the prime factorization of each number in the list.
24 = 2 • 2 •
• 3
This can be written as 23 · 3.
60 = 2 • 2•3•
This can be written as 22 · 3•5.
96 = 2 • 2•2•2•
• 3
This can be written as 25• 3.
The highlighting shows that 24, 60, and 96 have two factors of 2 and one factor of 3 in common. The GCF of 24, 60, and 96 is the product of their common
prime factors.
GCF = 2· 2• 3 = 22 · 3 =
(c) Since there are no prime factors common…
Find top and bottom elements of N0 with operation as division
Chapter 2 Solutions
PREALGEBRA
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