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: 45

Answer

$5^{3}$

Work Step by Step

In order to find the prime factorization of 125, we can try to divide 125 by the first prime, 2. 125 cannot be divided by 2 or 3, so we divide by the next prime, 5. $125\div5=25$ 25 cannot be divided by 2 or 3, so we divide by 5. $25\div5=5$ 5 itself is a prime number, so we cannot simplify any more. The prime factorization of 125 is $5\times5\times5=5^{3}$.
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