  We propose a prime factoring machine operated in a frame work of quantum
annealing (QA). The idea is inverse operation of a quantum-mechanically
reversible multiplier implemented with QA-based Boolean logic circuits. We
designed the QA machine on an application-specific-annealing-computing
architecture which efficiently increases available hardware budgets at the cost
of restricted functionality. The circuits are to be implemented and fabricated
by using superconducting integrated circuit technology. We propose a
three-dimensional packaging scheme of a qubit-chip / interposer /
package-substrate structure for realizing practically-large scale QA systems.
