Difference between revisions of "2011 UNCO Math Contest II Problems/Problem 1"
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== Solution == | == Solution == | ||
| − | 41 | + | Let int(x) indicate the largest integer less than or equal to x. To solve this problem, we simply need to find the powers of 3 that go into 85. Thus we get int(85/3). But that doesn't count the 2 3's in 9, so we need to add that to int(85/9), int(85/27), and int(85/81), giving us 41. |
== See Also == | == See Also == | ||
Revision as of 00:00, 21 December 2014
Problem
The largest integer 
so that 
evenly divides 
is 
. Determine the largest integer so that evenly divides 
.
Solution
Let int(x) indicate the largest integer less than or equal to x. To solve this problem, we simply need to find the powers of 3 that go into 85. Thus we get int(85/3). But that doesn't count the 2 3's in 9, so we need to add that to int(85/9), int(85/27), and int(85/81), giving us 41.
See Also
| 2011 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 | ||
