Difference between revisions of "2016 AMC 8 Problems/Problem 15"
Pi is 3.14 (talk | contribs) (→Solution) |
Hashtagmath (talk | contribs) |
||
Line 15: | Line 15: | ||
+ | ==See Also== | ||
{{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 16:32, 21 April 2021
Contents
[hide]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 .
Video Solution
https://youtu.be/HISL2-N5NVg?t=3705
~ pi_is_3.14
See Also
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.