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
-
2401 Solvers
-
Set some matrix elements to zero
520 Solvers
-
The Answer to Life, the Universe, and Everything
522 Solvers
-
Flip the vector from right to left
8709 Solvers
-
5043 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!