If 6^w is a factor of (10!)^2, What is the greatest possible value of w ? Select:
A) 2
B) 4
C) 6
D) 8
E) 10
w 10!= 10*9*8*7*6*5*4*3*2*1 = 2*5*3*3*2*2*2*7*2*3*5*2*2*3*2 = 2^8*3^4*5^2*7   6= 2*3   Therefore only the exponents of 2 and 3 are relevant, 2^8 or 3^4 -&gt; higher number counts = 8 -&gt; Answer Choice 8
<result>D</result>
If 6^w is a factor of (10!)^2, What is the greatest possible value of w ?