Question

What is the highest power of 10 in 203!

Answer 1

(203/10)+(203/100)+(203/1000)...........
=20.3+2.03+0.203......
note : we should not consider the numbers after the decimal point
=20+2+0+0+......
=22
therefore answer is 22

Answer 2

Answer:

49

Step-by-step explanation:

10=2*5 (prime factors of 10)

highest power of 10 in 203!=min(power of 2 in 203!,power of 5 in 203!)

power of 2 in 203! = |203/2| + |203/4| + |203/8| + |203/16| + |203/32| + |203/64| + |203/128| =101 + 50 + 25 + 12 + 6 + 3 + 1= 198

power of 5 in 203! = |203/5| + |203/25| + |203/125|= 40 + 8 + 1 = 49

=> min( 198,49)=49