Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.2 - Prime and Composite Numbers - Problem Set 1.2 - Page 13: 42

Answer

$76=2\times2\times19$

Work Step by Step

Since the last digit of 76 is an even number, 76 is divisible by 2. When we divide 76 by 2, we get 38. 38 is further divisible by 2, and 38 divided by 2 is 19. 19 is not divisible by any number except 1 and is therefore a prime number. Since 2, 2, and 19 are prime factors, the prime factorization of 76 is $2\times2\times19$.
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