Solution
= Solution
For a prime $p$ and a positive integer $N$, the <P-adic valuation> is
$$
\boxed{v_p(N)=\max\{r\in\mathbb Z_{\geq0}:p^r\mid N\}.}
$$
= Solution
For a prime $p$ and a positive integer $N$, the <P-adic valuation> is
$$
\boxed{v_p(N)=\max\{r\in\mathbb Z_{\geq0}:p^r\mid N\}.}
$$