# Factorials and prime factorial factors [duplicate]

• Well, $10! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10$. So just $3! \times 5!$ falls short in part because it lacks $7$. – Mr. Brooks Nov 19 '16 at 22:40