SOLUTION: if the product of first 50 positive consecutive integers be divisible by 7^n,where n is an integer , then the largest possible value of n is ?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: if the product of first 50 positive consecutive integers be divisible by 7^n,where n is an integer , then the largest possible value of n is ?      Log On


   

Question 914891: if the product of first 50 positive consecutive integers be divisible by 7^n,where n is an integer , then the largest possible value of n is ?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
(x)(x+1)...(x+49)

multiples of 7:
x
x+7
x+14
x+21
x+28
x+35
x+42
x+49

There are 8 factors of 7 in the product.