The last digit is my target

Number Theory Level 1

As shown below, the last digit of \(n!\) for each of \(n=5, 6, 7\) is zero: \[5!=12{\color{red}0},\quad 6!=72{\color{red}0},\quad 7!=504{\color{red}0}.\] Is it true that the last digit of \(n!\) is zero for all positive integers \(n>4?\)