If \(x\) is the product of the integers from \(1\) to \(150,\) inclusive, and \(5^y\) is a factor of \(x,\) what is the

[Vincen]

If \(x\) is the product of the integers from \(1\) to \(150,\) inclusive, and \(5^y\) is a factor of \(x,\) what is the greatest possible value of \(y?\)

A) 30
B) 34
C) 36
D) 37
E) 39

Answer: D

Source: GMAT Prep