Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapters 1-2 - Cumulative Review Exercises - Page 195: 33

Answer

2 * $3^{2}$ * 7

Work Step by Step

126 Try to divide 126 by the first prime number 2 126 = 63 * 2 Try to divide 63 by the prime number 3 63 = 21 * 3 Try to divide 21 by the prime number 3 21 = 7 * 3 So, 126 = 2 * 3* 3 *7 Because all factors are prime, the prime factorization of 126 is 2 * 3*3*7 = 2 * $3^{2}$ * 7
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