Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 2 - Multiplying and Dividing Fractions - 2.3 Factors - 2.3 Exercises - Page 131: 62

Answer

$2^{4} \times 5^{3}$

Work Step by Step

Divide 2000 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. $2^{4} × 125$ 125 is not divisible by 3. To continue with the prime factorization, divide 125 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. $2^{4} \times 5^{3}$
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