Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 4.1, Problem 23E

To determine

To find factors of number 144

Expert Solution & Answer

Answer to Problem 23E

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

Explanation of Solution

Given Information: Number 144

To find factors of a number , find the LCM of the respective number by finding the divisors of it. The factors of 144 are the numbers which can divide the number 144 completely.

Calculation:

Since the Factors of 144 are all the numbers that can evenly divide into 144, simply need to divide 144 by all numbers up to 144 to see which ones result in an even quotient.

144 ÷ 1 = 144144 ÷ 2 = 72144 ÷ 3 = 48144 ÷ 4 = 36144 ÷ 6 = 24144 ÷ 8 = 18144 ÷ 9 = 16144 ÷ 12 = 12144 ÷ 16 = 9144 ÷ 18 = 8144 ÷ 24 = 6144 ÷ 36 = 4144 ÷ 48 = 3144 ÷ 72 = 2144 ÷ 144 = 1

The Positive Factors of 144 are therefore all the numbers used to divide (divisors) above to get an even number. Here is the list of all Positive Factors of 144 in numerical order:

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

Chapter 4.1, Problem 22E

Chapter 4.1, Problem 24E

Chapter 4 Solutions

Pre-Algebra

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