Difference between revisions of "2016 AMC 8 Problems/Problem 15"
Pi is 3.14 (talk | contribs) (→Solution) |
Pi is 3.14 (talk | contribs) (→Video Solution) |
||
| Line 11: | Line 11: | ||
{{AMC8 box|year=2016|num-b=14|num-a=16}} | {{AMC8 box|year=2016|num-b=14|num-a=16}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
Revision as of 22:27, 27 January 2021
Problem
What is the largest power of 
that is a divisor of 
?
Solution
First, we use difference of squares on 
to get 
. Using difference of squares again and simplifying, we get 
. Realizing that we don't need the right-hand side because it doesn't contain any factor of 2, we see that the greatest power of that is a divisor is 
.
| 2016 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
