What is the greatest value of positive integer x such that 2^x is a factor of 100^70? Choose the most appropriate option:
A) 120
B) 140
C) 130
D) 150
E) 160
Put in simple words, we need to find the highest power of 2 in 100^70   100 = 2^2*5^2   Therefore 100^70 = (2^2*5^2)^70 = 2^140*5^140   Answer : 140
<result>B</result>
What is the greatest value of positive integer x such that 2^x is a factor of 100^70?