Finding Maximum power of a number that divides a factorial number

1. Find the maximum power of 5 in 60!
a. 10
b. 12
c. 13
d. 14


2. Find the maximum power of 15 in 100!
a. 6
b. 25
c. 27
d. 24


3. Find the highest power of 12 that divide 49!.
a. 4
b. 22
c. 23
d. 26


4. How many zero's are there at the end of 100!
a. 10
b. 11
c. 22
d. 24


5. By which number the expression $\dfrac{200!}{12^{100}}$ should be multiplied so that the given expression becomes an integer
a. 216
b. 200
c. 64
d. 9


6. What is the maximum power of 3 in the expansion of 1! × 2! × 3! × . . . . × 100!
a. 11
b. 13
c. 14
d. 18