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: 52



Work Step by Step

In order to find the prime factorization of 400, we can try to divide 400 by the first prime, 2. $400\div2=200$ Try to divide 200 by 2. $200\div2=100$ Try to divide 100 by 2. $100\div2=50$ Try to divide 50 by 2. $50\div2=25$ 25 cannot be divided by 2 or 3, so we divide by the next prime, 5. $25\div5=5$ 5 itself is a prime number, so we cannot simplify any more. The prime factorization of 400 is $2\times2\times2\times2\times5\times5=2^{4}\times5^{2}$.
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