Art of Problem Solving

2012 UNCO Math Contest II Problems/Problem 4: Difference between revisions

Rockingmat (talk | contribs)
Aimestew (talk | contribs)
 
Line 9: Line 9:
== Solution ==
== Solution ==
(a) <math>289</math> (b) <math>11</math>
(a) <math>289</math> (b) <math>11</math>
Does anyone even do these?


== See Also ==
== See Also ==

Latest revision as of 13:24, 20 April 2024

Problem

a) What is the largest integer $n$ for which $n^3+1631$ is divisible by $n+11$ ?

(b) For how many positive integer values of $n$ is $n^3+1631$ divisible by $n+11$?


Solution

(a) $289$ (b) $11$

See Also

2012 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions