Is it true that $I \otimes B$ is primitive ideal of $A \otimes B$?

Question

Let $A$ and $B$ be $C^{\ast}-$ algebras and $A \otimes B$ denotes minimal(spatial) tensor product. Let $I$ be primitive ideal of $A$.

Is it true that $I \otimes B$ is primitive ideal of $A \otimes B$?( I'm mainly interested in the case when B is simple)