What is the greatest value of n such that 15^n is a factor of 15! ?
Choose the correct choice from the following choices:
A) 1  B) 2  C) 3  D) 4  E) 5
Another way to solve this question :   We know that 18 = 2 *3^2.   Hence, we need to find total number of 3s in 18! ( As out of 3 and 2 , we will have count of 3 least)   No. of 3s = 18/3= 
<gadget id="calculator">18/3</gadget>
<output>6</output>
6/3= 
<gadget id="calculator">6/3</gadget>
<output>2</output>
2.   Add the numbers in Bold, you will get total number of 3s= 8.   Hence, total number of 3^2 = 10/2= 
<gadget id="calculator">10/2</gadget>
<output>5</output>
5.   Hence, answer is 5. 5
<result>E</result>
What is the greatest value of n such that 15^n is a factor of 15! ?