Question

what is the highest power of 5 contained in 200!?

Answer 1

200/5 = 40

200/5² = 8

200/5³ = 1  

∴ Highest power of 5 contained in 200! =40 + 8 + 1 = 49

Answer 2

Answer:

Hum… You have asked for calculating the highest power of 5 in the number 200! Factorial.

Step-by-step explanation:

Lets see..this is a very simple question that can be understood easily using factorial rules in maths.

Speaking of 200! The highest power of the number 5 will be 2 (which is equivalent to 2).

Now the highest power can be calculated for 5 in 200 (which is also equal to 2).

The number 5 occurs in factorization only 2 times.

So, highest power would be 200/5 + 200/5^2 + 200/5^3 = 200/5 + 200/25 + 200/125

= 40 + 8 + 1 = 49.

The correct answer is 49.