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

Rationale: 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 = 16 e
Answer: E