Summary: We consider integral domains \(D\) for which each nonzero ideal \(A\) (or each nonzero principal ideal \(aD)\) can be written as a product \(Q_1\cdot Q_2 \cdots Q_n\), where the \(Q_i\) are pairwise comaximal and have some additional property. We determine the structure of integral domains having this property in the following cases: each \(Q_i\) has prime radical; each \(Q_i\) is primary; each \(Q_i\) is the power of a prime ideal.