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 131: 44



Work Step by Step

In order to find the prime factorization of 112, we can try to divide 112 by the first prime, 2. $112\div2=56$ Try to divide 56 by 2. $56\div2=28$ Try to divide 28 by 2. $28\div2=14$ Try to divide 14 by 2. $14\div2=7$ 7 itself is a prime number, so we cannot simplify any more. The prime factorization of 112 is $2\times2\times2\times2\times7=2^{4}\times7$.
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