x is the product of each integer from 1 to 75, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?	Select the correct option:
A) 8  B) 7  C) 6  D) 9  E) 10
The number of trailing zeros in the decimal representation of n!, the factorial of a non-negative integer n, can be determined with this formula:   n5+n52+n53+...+n5k, where k must be chosen such that 5k≤n   x = 1*2*3....*75 = 50!   No. of trailing zeros in 75! = 75/5 + 75/5^2 = 15+3= 
<gadget id="calculator">15+3</gadget>
<output>18</output>
18   100^k= 10^2k → k = 18/2= 
<gadget id="calculator">18/2</gadget>
<output>9</output>
9   9
<result>D</result>
x is the product of each integer from 1 to 75, inclusive and y=100^k, where k is an integer . What is the greatest value of k for which y is a factor of x?