Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter R - Section R.1 - Factors and the Least Common Multiple - Exercise Set - Page R-7: 34

Answer

Option $(c)$

Work Step by Step

The $\textit{prime factorization}$ of a number is obtained by writing the number as a product of primes. To determine the prime factorization of $63$ we write the number as a product of factors and continue the process until all factors are prime numbers. We start by writing $63$ as a product of two numbers: $63=3\cdot 21$. The number $3$ is prime, but $21$ is not. So we write $21=3\cdot 7$: $63=3\cdot 3\cdot 7$. Now each factor is a prime number, therefore the prime factorization of $63$ is $3\cdot 3\cdot 7$. The option $(c)$ has the prime factorization.
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