De Polignac's Formula/Examples/3 in 720 Factorial

Example of Use of De Polignac's Formula
The prime factor $3$ appears in $720!$ to the power of $356$.

That is:
 * $3^{356} \mathrel \backslash 720!$

but:
 * $3^{357} \nmid 720!$

Proof
Let $\mu$ denote the power of $3$ which divides $720!$