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: 61

Answer

$2^{3} \times 3 \times 5 \times 13$

Work Step by Step

Divide 1560 by 2 until the result is no longer divisible by 2. The number of times you divided by 2 becomes the exponent for the factor 2. $2^{3} \times 195$ To continue with the prime factorization, divide 195 by 3 until it is no longer divisible by 3. The number of times you divided by 3 becomes the exponent for the factor 3. $2^{3} \times 3 \times 65$ To continue with the prime factorization, divide 65 by 5 until it is no longer divisible by 5. The number of times you divided by 5 becomes the exponent for the factor 5. $2^{3} \times 3 \times 5 \times 13$
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