Question

Highest power of 11 contained in 2019!

Answer 1

To find, the power of any prime in the factorial of any natural number

Power of prime m contained in N!

= [N/m]+[N/m^2] + [N/m^3] + [N/m^4] + ....

You should stop when the GIF of following term becomes zero.

Here, [.] represents Greatest Integer Function

So, power of 11 in 2019!

= [2019/11] + [2019/121] + [2019/1331] + [2019/14641]

= 183+16+1+0 = 200

Therefore, highest power of 11 contained in 2019! will be 200.

Answer 2

Answer:

200

So, power of 11 in 2019! Therefore, highest power of 11 contained in 2019! will be 200.