Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 1 - Introduction to Algebraic Expressions - 1.3 Fraction Notation - 1.3 Exercise Set: 26

Answer

$2\times7^{2}$

Work Step by Step

A number is prime if it has only two factors: 1 and itself. We know that the factors of 98 are 1, 2, 7, 14, 49, and 98. 2 is a prime number, so we can divide 98 by 2 $98\div2=49$ The factors of 49 are 1, 7, and 49. Since 7 is a prime number, divide by 7. $49\div7=7$ 7 is also a prime number Therefore, the prime factorization of 98 is $2\times7\times7=2\times7^{2}$.
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