  Based on the idea of measuring the factorizability of a given density matrix,
we propose a pairwise analysis strategy for quantifying and understanding
multipartite entanglement. The methodology proves very effective as it
immediately guarantees, in addition to the usual entanglement properties,
additivity and strong super additivity. We give a specific set of quantities
that fulfill the protocol and which, according to our numerical calculations,
make the entanglement measure an LOCC non-increasing function. The strategy
allows a redefinition of the structural concept of global entanglement.
