If k is the greatest positive integer such that 3^k is a divisor of 15! then k =  Choose the correct choice from the following options:	A) 3	B) 4	C) 5	D) 6	E) 7
For solving this type of tasks we can use such approach   15 / 3= 
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
5   15 / 3^2= 1 and remainder   and 3^3 is more than 15 so we stop on second exponent   5 + 1= 
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
6   so maximum value of k= 6   And answer is 6
<result>D</result>
If k is the greatest positive integer such that 3^k is a divisor of 15! then k =