Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.2 - Factors and Simplest Form - Exercise Set: 92

Answer

They are the same. There is only one prime factorization for a given number. $120=2^3\times3\times5$

Work Step by Step

$\ \ \ \ \ \ \ \ \ \ \ \ \ 120$ $\ \ \ \ \ \ \ \ \ \swarrow\ \ \searrow$ $\ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ 10$ $\ \ \ \ \swarrow\searrow\ \ \ \swarrow\searrow$ $\ \ \ 2\ \ \ \ \ \ \ 6\ \ \ \ 2\ \ \ \ \ \ \ 5$ $\ \ \ \ \ \ \ \ \swarrow\searrow$ $\ \ \ \ \ \ \ \ 2\ \ \ \ \ \ 3$ $\ \ \ \ \ \ \ \ \ \ \ \ \ 120$ $\ \ \ \ \ \ \ \ \ \swarrow\ \ \searrow$ $\ \ \ \ \ \ \ \ 24\ \ \ \ \ \ \ \ \ \ 5$ $\ \ \ \ \swarrow\searrow$ $\ \ \ 2\ \ \ \ \ \ \ 12$ $\ \ \ \ \ \ \ \ \swarrow\searrow$ $\ \ \ \ \ \ \ \ 2\ \ \ \ \ \ 6$ $\ \ \ \ \ \ \ \ \ \ \ \ \swarrow\searrow$ $\ \ \ \ \ \ \ \ \ \ \ \ 3\ \ \ \ \ \ 2$
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