Want to know explanation

$120=12\cdot 10 =3\cdot 4\cdot 5\cdot 2=1\cdot 2\cdot 3\cdot 4\cdot 5=5!$ $\Rightarrow n=5$

$1!=1\\ 2!=2\\ 3!=6\\ 4!=24\\ 5!=120$

Therefore, $n=\boxed{5}$

We start with 1 multiply 2, we get 2, multiply 3 we get 6, multiply 4 we get 24 multiply 5 we get 120. So, $120 = 5! \implies n = \color{#3D99F6}{\boxed{5}}$ .

Knowng that each of the factorial values > 1 is unique, we can directly conclude: $n! = 120 = 5! <=> n = 5$

n! = n x (n-1) x (n-2) x ... x 1 n x (n-1) x (n-2) x ... x 1 = 120 If we input n = 5, then 5 x 4 x 3 x 2 x 1 = 120 n = 5