Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter R - Section R.1 - Factors and the Least Common Multiple - Exercise Set - Page R-6: 5

Answer

Factors: $1, 2, 3, 6, 7, 14, 21$ and $42$

Work Step by Step

Start with the number $1$. Divide $42$ by $1$. The result is $42$. $42=1\cdot42$ $1$ and $42$ are factors of $42$. Divide $42$ by $2$. The result is $21$. $42=2\cdot 21$ $2$ and $21$ are factors of $42$. Divide $42$ by $3$. The result is $14$. $42=3\cdot14$ $3$ and $14$ are additional factors of $42$. Divide $42$ by $4$. The result is $10.5$ (not a whole number). $4$ does not divide evenly into $42$. Divide $42$ by $5$. The result is $8.4$ (not a whole number). $5$ does not divide evenly into $42$. Divide $42$ by $6$. The result is $7$. $42=6\cdot 7$ $6$ and $7$ are more factors of $42$. Thus, the factors of $42$ are $1, 2, 3, 6, 7, 14, 21$ and $42$.
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