Is scalar multiple of points of finite order less than 17 always?

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According to the theorem of Mazur (1977), The torsion subgroup of the group of rational points $E(Q)$ on an elliptic curve must be one of the following 15 groups:

$C_N$ with $1 ≤ N ≤ 10$ or $N = 12,$

$C_2 × C_{2N}$ with $1 ≤ N ≤ 4$. In particular, $E(Q)_{tors}$ has order at most 16. I want to check whether my understanding is correct. Let $O$ be the point in infinity.

Does this mean for any point $P \in E(Q)$ of finite order, $m \leq 16$ where $mP=O$? In other words scalar multiple of points of finite order can't be bigger than 16?