Basic College Mathematics (10th Edition)

Published by Pearson

Chapter 2 - Multiplying and Dividing Fractions - Test - Page 193: 8

Answer

$2^{4}$ * $3^{2}$

Work Step by Step

144 Try to divide 144 by the first prime number 2 144 $\div$ 2= 72 So 72 * 2 =144 Now again divide 72 by the prime number 2 72 $\div$ 2 = 36 again divide 36 by the prime number 2 36 $\div$ 2 = 18 divide 18 by the prime number 2 18 $\div$ 2 = 9 Divide 9 by the prime number 3 9 $\div$ 3 = 3 2*2*2*2*3*3 = 144 Because all the factors are prime. So the prime factorization of 144 is 2*2*2*2*3*3 = $2^{4}$ * $3^{2}$

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