Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 2 - Multiplying and Dividing Fractions - 2.3 Factors - 2.3 Exercises - Page 130: 40



Work Step by Step

In order to find the prime factorization of 64, we can try to divide 64 by the first prime, 2. $64\div2=32$ Try to divide 32 by 2. $32\div2=16$ Try to divide 16 by 2. $16\div2=8$ Try to divide 8 by 2. $8\div2=4$ Try to divide 4 by 2. $4\div2=2$ 2 itself is a prime number, so we cannot simplify any more. The prime factorization of 64 is $2\times2\times2\times2\times2\times2=2^{6}$.
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