What is the greatest value of n such that 16^n is a factor of 18! ?
Choose the correct choice from the following options:
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 2^1 = 2/2= 
<gadget id="calculator">2/2</gadget>
<output>1</output>
1   Hence, answer is 1. 1
<result>A</result>
What is the greatest value of n such that 16^n is a factor of 18! ?