View source for 2012 UNCO Math Contest II Problems/Problem 4

== Problem ==

a) What is the largest integer <math>n</math> for which <math>n^3+1631</math> is divisible by <math>n+11</math> ?

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



== Solution ==
(a) <math>289</math> (b) <math>11</math>

== See Also ==
{{UNCO Math Contest box|n=II|year=2012|num-b=3|num-a=5}}

[[Category:Intermediate Number Theory Problems]]