What is the greatest value of positive integer x such that 2^x is a factor of 100^90?	Choose the correct choice from the following answers.
A) 180 B) 160 C) 140 D) 150 E) 120
Put in simple words, we need to find the highest power of 2 in 100^90   100 = 2^2*5^2   Therefore 100^90 = (2^2*5^2)^90 = 2^180*5^180   180nswer : 180
<result>A</result>
What is the greatest value of positive integer x such that 2^x is a factor of 100^90?