2016 AMC 8 Problems/Problem 15
Contents
[hide]Problem
What is the largest power of that is a divisor of ?
Solution 1
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 .
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https://youtu.be/HISL2-N5NVg?t=3705
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Video Solution
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See Also
2016 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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