Difference between revisions of "2018 AMC 10A Problems/Problem 7"
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==Video Solution== | ==Video Solution== | ||
https://youtu.be/ZiZVIMmo260 | https://youtu.be/ZiZVIMmo260 | ||
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+ | https://youtu.be/2vz_CnxsGMA | ||
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+ | ~savannahsolver | ||
== See Also == | == See Also == |
Revision as of 14:02, 2 July 2020
Contents
Problem
For how many (not necessarily positive) integer values of is the value of
an integer?
Solution
The prime factorization of is
. Therefore, the maximum number for
is
, and the minimum number for
is
. Then we must find the range from
to
, which is
.
Video Solution
~savannahsolver
See Also
2018 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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 AMC 10 Problems and Solutions |
2018 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 6 |
Followed by Problem 8 |
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 AMC 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.