## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 2 - Multiplying and Dividing Fractions - Test - Page 193: 9

#### Answer

$2^{2}$ * $5^{3}$

#### Work Step by Step

500 Try to divide 500 by the first prime, 2. 500 = 250 * 2 again divide 250 by the first prime number 2 250 = 125 * 2 Divide 125 by the prime number 5 125 = 25 * 5 Again divide 25 by 5 25 = 5 * 5 So, 2*2*5*5*5 Because all factors are prime, the prime factorization of 144 is 2*2*5*5*5 = $2^{2}$ * $5^{3}$

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