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We prove that a Malcev algebra $\mathcal{M}$ containing the $7$-dimensionalsimple non-Lie Malcev algebra $\mathbb{M}$ such that $m\mathbb{M}\neq 0$ forany $m\neq 0$ from $\mathcal{M}$, is isomorphic to$\mathbb{M}\otimes_\textup{F} \mathcal{U}$, where $\mathcal{U}$ is a certaincommutative associative algebra. Also, we prove that a Malcev superalgebra$\mathcal{M}=\mathcal{M}_0\oplus \mathcal{M}_1$ whose even part $\mathcal{M}_0$contains $\mathbb{M}$ with $m\mathbb{M}\neq 0$ for any homogeneous element$0\neq m\in \mathcal{M}_0\cup \mathcal{M}_1$, is isomorphic to$\mathbb{M}\otimes_\textup{F}U$, where $U$ is a certain supercommutativeassociative superalgebra.

Kronecker factorization theorems for the seven dimensional simple non-Lie Malcev algebra