Problem 44747. Exponents in Factorials
It's time to get excited about numbers!!! Well, we're just dealing with factorials here, but it's still a good reason to get excited. You're given two numbers, n and k. Calculate the highest exponent of k that could appear in n!
For example, for n=5 and k=2, you're looking for the highest exponent of 2 that could appear in 5!, or 120. The highest power of 2 that evenly divides 120 is 3 (2^3 evenly divides 120, while 2^4 does not) so your output for maxexp(5,2)=3.
You can assume that both n and k are both integers greater than 1.
Solution Stats
Problem Comments
-
2 Comments
Please add test cases:
assert(isequal(maxexp(1e9, 2), 999999987))
assert(isequal(maxexp(1e9, 3), 499999993))
The harder test cases were going to be in version 2 of the problem. This was just to get the ball rolling. I see that you went ahead and submitted the problem with your added test cases, which is never a bad thing. Thanks, and I'm glad you liked the problem!
Solution Comments
Show commentsProblem Recent Solvers26
Suggested Problems
-
Find the sum of all the numbers of the input vector
47889 Solvers
-
20983 Solvers
-
Find the maximum number of decimal places in a set of numbers
2767 Solvers
-
344 Solvers
-
Create an n-by-n null matrix and fill with ones certain positions
579 Solvers
More from this Author80
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!