Divisibility of sequences

Let $S_n$ be the set of all sequences of natural numbers of $n$ terms.
Let $\{a\},\{b\}\in S_n$ and define the divisibility rule: $\{a\}|\{b\} \Longleftrightarrow a_i|b_i \forall i=0,1,\cdots n-1$
Considering this divisibility rule as a relation on $S_n$ , is this relation a partial order? Is this relation a total order?