What is the greatest value of n such that 24^n is a factor of 24! ?	Choose the correct choice from the following choices
A) 1  B) 2  C) 3  D) 4  E) 8
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 4^2 = 16/2= 
<gadget id="calculator">16/2</gadget>
<output>8</output>
8.   Hence, answer is 8. 8
<result>E</result>
What is the greatest value of n such that 24^n is a factor of 24! ?