Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 4.1, Problem 12C

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 12C

The number is composite.

Explanation of Solution

Given Information: Number 420

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 420 is a prime number or a composite number, simply look at the factors for 420.

If the factors of 420 are only 420 and 1, then 420 is a prime number. Otherwise, 420 is a composite number.

To explain better, if 420 is only divisible by 1 and 420, then it is a prime number, and if 420 is divisible by more than 420 and 1, then it is a composite number.

The factors of 420 are as follows:

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Therefore, since 420 is divisible by more than one and itself, the number is composite.

Chapter 4.1, Problem 11C

Chapter 4.1, Problem 13C

Chapter 4 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

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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