Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 2 - Multiplying and Dividing Fractions - 2.3 Factors - 2.3 Exercises: 50

Answer

$2^{5}\times3\times5$

Work Step by Step

In order to find the prime factorization of 480, we can try to divide 480 by the first prime, 2. $480\div2=240$ Try to divide 240 by 2. $240\div2=120$ Try to divide 120 by 2. $120\div2=60$ Try to divide 60 by 2. $60\div2=30$ Try to divide 30 by 2. $30\div2=15$ 15 cannot be divided by 2, so we divide by the next prime, 3. $15\div3=5$ 5 itself is a prime number, so we cannot simplify any more. The prime factorization of 480 is $2\times2\times2\times2\times2\times3\times5=2^{5}\times3\times5$.
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