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: 48

Answer

$2^{2}\times3\times5^{2}$

Work Step by Step

In order to find the prime factorization of 300, we can try to divide 300 by the first prime, 2. $300\div2=150$ Try to divide 150 by 2. $150\div2=75$ 75 cannot be divided by 2, so we divide by the next prime, 3. $75\div3=25$ 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 300 is $2\times2\times3\times5\times5=2^{2}\times3\times5^{2}$.
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