x is the product of each integer from 1 to 25, 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?
Choose the correct choice from the following choices
A) 5	B) 4	C) 3	D) 6	E) 7
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....*25 = 25!   No. of trailing zeros in 25! = 25/5 + 25/5^2 = 6   100^k = 10^2k → k = 6/2= 
<gadget id="calculator">6/2</gadget>
<output>3</output>
3   3
<result>C</result>
x is the product of each integer from 1 to 25, 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?