What is the greatest possible value of integer n if 100! is divisible by 15^n  Pick one:
A) 20  B) 21  C) 22  D) 23  E) 24
15^n = 5^n * 3^n   Highest prime factor will be the limiting factor.   100/5 +100/25 =20+4= 
<gadget id="calculator">20+4</gadget>
<output>24</output>
24   ANSW24R:24
<result>E</result>
What is the greatest possible value of integer n if 100! is divisible by 15^n