p-Adic Valuation of a Factorial (Legendre's Formula)
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- Factorials can be put to many uses. Most of this, however, is used in probability, which we will not discuss in this topic. However, there are certain commonly tested aspects of…
By Bill Zhang, Po-Shen Loh
- Legendre's Formula Before I start, I assume that everyone looking this post understand what are floor function, Euclidean algorithm and number bases. In some mathematics competi…
By Chong Jing Quan
- Prime Factorization of Factorials The reader should read this post for some introduction to floor functions and preliminary problems. Let's start with a classic problem. Find th…
By amaterasu, Kada Williams