2012 UNCO Math Contest II Problems/Problem 1
Problem
(a) What is the largest factor of that is not a multiple of
?
(b) If satisfies
,
then what is the largest perfect square that is a factor of
?
Solution
(a)(b)
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The prime factorization of is
.
We need to get the largest factor of which isn't a multiple of
, so we can't include both
and
.
is greater than
, so we'll use that and
to get
.
The largest square factor of is
=
See Also
2012 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |