Difference between revisions of "2020 AMC 10B Problems/Problem 25"
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Revision as of 20:11, 7 February 2020
Problem
Let 
denote the number of ways of writing the positive integer 
as a product![\[n = f_1\cdot f_2\cdots f_k,\]](http://latex.artofproblemsolving.com/7/f/5/7f52b53b0b17822b9bde3837f27c952c28b38559.png)
where 
, the 
are integers strictly greater than 
, and the order in which the factors are listed matters (that is, two representations that differ only in the order of the factors are counted as distinct). For example, the number 
can be written as , 
, and 
, so 
. What is 
?
Solution
Use casework
See Also
| 2020 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 24 |
Followed by Last Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
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