Summary: We investigate a class of factorizable IC quasi-adequate semigroups, so-called factorizable IC quasi-adequate semigroups of type-\((H,I)\). Some characterizations of factorizable IC quasi-adequate semigroups of type-\((H,I)\) are obtained. In particular, we prove that any IC quasi-adequate semigroup has a factorizable IC quasi-adequate subsemigroup of type-\((H,I)\) and a band of cancellative monoids.