Question

find the highest power of 7 in 77 factorial in m4maths

Answer 1

Hey mate
your answer is here

highest power of 7 in 77!
= 【77/7】+【77/49】+【77/343】+.....

= 11+1+0+0....
= 12

Hope this help you

Thanks

Be Brainly

Answer 2

Answer:

The highest power of 7 in 77! is 12.              

Step-by-step explanation:

To find : The highest power of 7 in 77!?

Solution :

If  x  is a prime number, the highest power of  p in a factorial  n  is given by

$\text{Highest power of x in n!}=[\frac{n}{x}]+[\frac{n}{x^2}]+[\frac{n}{x^3}]+..$

Applying this in the given situation,

$\text{Highest power of 7 in 77!}=[\frac{77}{7}]+[\frac{77}{7^2}]+[\frac{77}{7^3}]+..$

$\text{Highest power of 7 in 77!}=[11]+[1]+[0]+..$

$\text{Highest power of 7 in 77!}=12$

Therefore, The highest power of 7 in 77! is 12.