COMC 2019 B Problem 2

What is the largest integer n such that the quantity

\frac{50!}{(5!)^{n}}

is an integer?

Note: Here k!=1 \times 2 \times 3 \times \cdots \times k is the product of all integers from 1 to k. For example, 4!=1 \times 2 \times 3 \times 4=24.