ELEMENTARY+INTERMEDIATE ALGEBRA

6th Edition

ISBN: 9781285074672

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 4.1, Problem 10C

To determine

To find whether the number is prime or composite. If the number is composite, write its prime factorization.

Expert Solution & Answer

Answer to Problem 10C

The number is composite.

Explanation of Solution

Given Information: Number 175

Formula used: To check if the numbers is prime or composite by finding its factors. If its factors are more than 2(except 1 and the number itself), then the number is composite else prime.

Calculation:

To determine if 175 is a prime number or a composite number, simply look at the factors for 175.

If the factors of 175 are only 175 and 1, then 175 is a prime number. Otherwise, 175 is a composite number.

To explain better, if 175 is only divisible by 1 and 175, then it is a prime number, and if 175 is divisible by more than 175 and 1, then it is a composite number.

The factors of 175 are as follows:

1, 5, 7, 25, 35, 175

Therefore, since 175 is divisible by more than one and itself, the number is composite.

Chapter 4.1, Problem 9C

Chapter 4.1, Problem 11C

Chapter 4 Solutions

ELEMENTARY+INTERMEDIATE ALGEBRA

Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C Ch. 4.1 - Prob. 7C Ch. 4.1 - Prob. 8C Ch. 4.1 - Prob. 9C Ch. 4.1 - Prob. 10C

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