P-adic valuation
= P-adic valuation
{c}
{wiki}
For a prime $p$ and a nonzero integer $N$, the $p$-adic valuation is
$$
v_p(N)=\max\{a\in\mathbb Z_{\geq0}:p^a\mid N\}.
$$
It extends to nonzero rational numbers by $v_p(a/b)=v_p(a)-v_p(b)$.
= P-adic valuation
{c}
{wiki}
For a prime $p$ and a nonzero integer $N$, the $p$-adic valuation is
$$
v_p(N)=\max\{a\in\mathbb Z_{\geq0}:p^a\mid N\}.
$$
It extends to nonzero rational numbers by $v_p(a/b)=v_p(a)-v_p(b)$.