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: 70

Answer

$2^{2} \times 3 \times 5^{2} \times 7$

Work Step by Step

Divide 2100 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. $2^{2} \times 525$ To continue with the prime factorization, divide 525 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. $2^{2} \times 3 \times 175$ To continue with the prime factorization, divide 175 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. $2^{2} \times 3 \times 5^{2} \times 7$
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