If 7^w is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of w? Choose one:  A) 12  B) 13  C) 14  D) 15  E) 16
So the question just means that we have to find all the multiples w 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^w is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of w?