AtifS wrote:
This is regarding the topic "Factorial" written by Bunuel for GMAT Club's Math Book.
When finding the power of non-prime number in\(n!\) we first do prime-factorization of the non-prime number and then find the powers of each prime number in\(n!\) one by one using the followingformula
\(\frac{n}{p}+\frac{{n}}{{p^2}}+\frac{{n}}{{p^3}}+....+\frac{{n}}{{p^x}}\) such that\(p^x <n\) , where\(p\) is the prime number.
Let's suppose, we want to find the powers of\(80\) in\(40!\) .
Prime factorization of\(80=2^4 * 5^1\) .
Now first find the power
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