Basic College Mathematics (9th Edition)

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

Chapter 2 - Multiplying and Dividing Fractions - Summary Exercises - Fraction Basics: 31

Answer

$2^{3}\times5\times7$

Work Step by Step

In order to find the prime factorization by 280, we can try to divide 81 by the first prime number, 2. $280\div2=140$ Try to divide 140 by 2. $140\div2=70$ Try to divide 70 by 2. $70\div2=35$ 35 is not divisible by 2 or 3, so we can divide by the next prime, 5. $35\div5=7$ The number 7 itself is a prime number. Therefore, the prime factorization of 280 is $2\times2\times2\times5\times7=2^{3}\times5\times7$.
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