If 7^e is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of e?
Choose the correct choice from the following
A) 12	B) 13	C) 14	D) 15	E) 16
So the question just means that we have to find all the multiples e of 7 between 1 to 100   So there are 14 multiples of 7 ( 7 - 98)   But 49 and 98 contain two 7's as factors   so we have to add  14 + 2= 
<gadget id="calculator"> 14 + 2</gadget>
<output>16</output>
16   16
<result>E</result>
If 7^e is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of e?