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: 7

Answer

Factors: $1, 2, 4, 5, 8, 10, 16, 20, 40$ and $80$

Work Step by Step

Begin with the number $1$. Divide $80$ by $1$. The result is $80$. $80=1\cdot 80$ $1$ and $80$ are factors of $80$ . Divide $80$ by $2$. The result is $40$. $80=2\cdot 40$ $2$ and $40$ are additional factors of $80$. Divide $80$ by $3$. The result is $26.67$ (not a whole number). $3$ does not divide evenly into $80$. Divide $80$ by $4$. The result is $20$. $80=4\cdot 20$ $4$ and $20$ are more factors of $80$. Divide $80$ by $5$. The result is $16$. $80=5\cdot 16$ $5$ and $16$ are additional factors of $80$. Divide $80$ by $6$. The result is $13.33$ (not a whole number). $6$ does not divide evenly into $80$. Divide $80$ by $7$. The result is $11.43$ (not a whole number). $7$ does not divide evenly into $80$. Divide $80$ by $8$. The result is $10$. $80=8\cdot 10$ $8$ and $10$ are more factors of $80$. Finally, divide $80$ by $9$, which equals $8.89$ (not a whole number). $9$ does not divide evenly into $80$. Thus, the factors of $80$ are $1, 2, 4, 5, 8, 10, 16, 20, 40$ and $80$.
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