2016 AMC 8 Problems/Problem 15
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Contents
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 | |
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All AJHSME/AMC 8 Problems and Solutions |
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