Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 729^5?
Choose the correct choice from the following options
A) 5	B) 8	C) 10	D) 15	E) 30
729 = 3*3*3*3*3*3== 3^36   729^5 =(3^6)^5   =3^30   we have to find the greatest positive integer value for x   when x=30, it divides exactly once and that is the least positive integer value of the quotient   therefore, the correct option is 30
<result>E</result>
Which one of the following numbers is the greatest positive integer x such that 3^x is a factor of 729^5?