# A Sheer Multiplication Of Numbers

Danny wrote the following product:

$\large 1! \times 2! \times 3! \times \cdots \times 119! \times 120!$

He took out one of the following factorials and found that the product had become a perfect square. Find the factorial.

Notation: $!$ denotes the factorial notation. For example, $8! = 1\times2\times3\times\cdots\times8$.

×