Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Which numbers are not relatively prime?
$32, 65$
$34, 69$
$63, 91$
$26, 85$

The correct option is C.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step -1 - Apply the concept of Prime Factorization

In this, simply use the concept of Prime factorization of the numbers to get the greatest common factor of the given numbers.

Step -2 – Find the Factorization of the numbers

Since,

a. The factor of 32are: $32 = 2 \times 2 \times 2 \times 2 \times 2$

The factor of65 are: $65 = 5 \times 13$

It has no common factor other than 1.

b. The factor of 34are: $34 = 2 \times 17$

The factor of69 are: $69 = 3 \times 23$

It has no common factor other than1 .

c. The factor of 63are: $63 = 3 \times 3 \times 7$

The factor of91 are: $91 = 7 \times 13$

It has common factor which is 7other than 1.

d. The factor of26 are: $26 = 2 \times 13$

The factor of 85are: $85 = 5 \times 17$

It has no common factor other than 1.

Step -3 – Eliminating the options by giving reason

a. $32, 65$ : It is not the correct option because it has only one factor .

b. $34, 69$ : It is not the correct option because it has only one factor .

c. $63, 91$ : It is the correct option because it has another factor other than .d. $26, 85$ : It is not the correct option because it has only one factor .

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Pre-algebra

Answers without the blur.

Short Answer

Which numbers are not relatively prime?
$32, 65$
$34, 69$
$63, 91$
$26, 85$

Step by Step Solution

Step -1 - Apply the concept of Prime Factorization

Step -2 – Find the Factorization of the numbers

Step -3 – Eliminating the options by giving reason

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Short Answer

Which numbers are not relatively prime? 32,6534,6963,9126,85

Step by Step Solution

Step -1 - Apply the concept of Prime Factorization

Step -2 – Find the Factorization of the numbers

Step -3 – Eliminating the options by giving reason

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Which numbers are not relatively prime?
$32, 65$
$34, 69$
$63, 91$
$26, 85$