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 58E

To determine

To find the factors of given number using prime factorization.

Expert Solution & Answer

Answer to Problem 58E

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.

Explanation of Solution

Given Information: 240

Formula used: Calculate the factors by dividing every possible number. Then take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1.

Calculation:

Since the Factors of 240 are all the numbers that can evenly divide into 240, simply need to divide 240 by all numbers up to 240 to see which ones result in an even quotient.

240 ÷ 1 = 240240 ÷ 2 = 120240 ÷ 3 = 80240 ÷ 4 = 60240 ÷ 5 = 48240 ÷ 6 = 40240 ÷ 8 = 30240 ÷ 10 = 24240 ÷ 12 = 20240 ÷ 15 = 16240 ÷ 16 = 15240 ÷ 20 = 12240 ÷ 24 = 10240 ÷ 30 = 8240 ÷ 40 = 6240 ÷ 48 = 5240 ÷ 60 = 4240 ÷ 80 = 3240 ÷ 120 = 2240 ÷ 240 = 1

The Positive Factors of 240 are therefore all the numbers used to divide (divisors) above to get an even number. Here is the list of all Positive Factors of 240 in numerical order:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, and 240.

Chapter 4.1, Problem 57E

Chapter 4.1, Problem 59E

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

Ch. 4.1 - Prob. 11C Ch. 4.1 - Prob. 12C Ch. 4.1 - Prob. 13C Ch. 4.1 - Prob. 14C Ch. 4.1 - Prob. 15C Ch. 4.1 - Prob. 16C Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 35E Ch. 4.1 - Prob. 36E Ch. 4.1 - Prob. 37E Ch. 4.1 - Prob. 38E Ch. 4.1 - Prob. 39E Ch. 4.1 - Prob. 40E Ch. 4.1 - Prob. 41E Ch. 4.1 - Prob. 42E Ch. 4.1 - Prob. 43E Ch. 4.1 - Prob. 44E Ch. 4.1 - 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