What is the greatest value of positive integer x such that 2^x is a factor of 100^60? Choose the correct choice from the following answers.
A) 100  B) 110  C) 120  D) 105  E) 115
Put in simple words, we need to find the highest power of 2 in 100^60   100 = 2^2*5^2   Therefore 100^60 = (2^2*5^2)^60 = 2^120*5^120   Answer : 120
<result>C</result>
What is the greatest value of positive integer x such that 2^x is a factor of 100^60?