Question

Find the highest power of prime 5 in 50!​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer:

The highest power of prime $5$ in $50!$ is $12$.

Step-by-step explanation:

We are given with number $50!$.

Let $x$ be the number, then greatest integer function of $x$ will be the greatest integer so that it is less than or equal to $x$.

It is denoted by $[x]$.

Similarly, if $p$ is the prime number, then the highest power of $p$ in $n!$ is given by $[\frac{n}{p} ]+[\frac{n}{p^{2} } ]+[\frac{n}{p^{3} } ]+----$

As prime number is $5$,

Highest power of $5$ in $50!$ is $[\frac{50}{5} ]+[\frac{50}{5^{2} } ]+[\frac{50}{5^{3} } ]+----$

Solving we get

$=10+2+0$

$=12$

#SPJ3