Difference between revisions of "2008 UNCO Math Contest II Problems/Problem 5"
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| − | == Solution == | + | == Solution == |
| − | + | (a) <math>3^{668}\cdot 2^2</math> (b) <math>3^k</math> if <math>n=3k</math>; <math>2^2\cdot 3^{k-1}</math> if <math>n=3k+1</math>; <math>2\cdot 3^{k}</math> if <math>n=3k+2</math> | |
== See Also == | == See Also == | ||
Latest revision as of 01:02, 13 January 2019
Problem
5. The sum of 
and 
is 
and the product of these five numbers is
(a) Determine the largest number which is the product of positive integers whose sum is .
(b) Determine the largest number which is the product of positive integers whose sum is 
.
Solution
(a) 
(b) 
if 
; 
if 
; 
if 
See Also
| 2008 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
