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: 49

Answer

$2^{6}\times5$

Work Step by Step

In order to find the prime factorization of 320, we can try to divide 320 by the first prime, 2. $320\div2=160$ Try to divide 160 by 2. $160\div2=80$ Try to divide 80 by 2. $80\div2=40$ Try to divide 40 by 2. $40\div2=20$ Try to divide 20 by 2. $20\div2=10$ Try to divide 10 by 2. $10\div2=5$ 5 itself is a prime number, so we cannot simplify any more. The prime factorization of 320 is $2\times2\times2\times2\times2\times2\times5=2^{6}\times5$.
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