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10
votes
4answers
772 views
Highest power of a prime $p$ dividing $N!$
How does one find the highest power of a prime $p$ that divides $N!$ and other related products?
Related question: How many zeros are there at the end of $N!$?
This is being done to reduce ...
4
votes
9answers
1k views
Prove $0! = 1$ from first principles
How can I prove from first principles that $0!$ is equal to $1$?