Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.3 Fraction Notation - 1.3 Exercise Set: 29

Answer

$2\times3\times5^{2}$

Work Step by Step

A number is prime if it has only two factors: 1 and itself. We know that the factors of 150 are 1, 2, 3, 5, 10, 15, 30, 50, 75 and 150. 2 is a prime number, so we can divide 150 by 2 $150\div2=75$ The factors of 75 are 1, 3, 5, 15, 25, and 75. Since 3 is a prime number, divide by 3. $75\div3=25$ The factors of 25 are 1, 5, and 25. Since 5 is a prime number, divide by 5. 5 is also a prime number Therefore, the prime factorization of 150 is $2\times3\times5\times5=2\times3\times5^{2}$.
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