Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 103

Answer

The Fundamental Theorem of Arithmetic states that a composite number can be factored using prime numbers in only one way (order of the factors does not matter).

Work Step by Step

The Fundamental Theorem of Arithmetic states that a composite number can be factored (or expressed as a product of) using prime numbers in only one way (where order of the factors does not matter). This means that every composite number has a unique set of prime factors.
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