The manuscript is devoted to calculate the detectivity, Figure of merit, of the quantum wire infrared photodetectors (QRIPs). The importance arises from two points. Firstly, the QRIPs give a stable and controllable performance in comparison with quantum dot infrared photodetectors (QDIPs). Secondly, the gap; difference between the photo and dark currents, is high enough to obtain a distinguished responsivity and detectivity. So, the dependence of detectivity behavior on the QRIPs parameters is discussed. From the results, one can notice that the superiority of QRIPs over the QDIPs which gives higher values of detectivity, about ten times or higher the latter under the same conditions. Hence, an improvement of the responsivity and detectivity of QRIPs compared to QDIPs has been perceived.Keywords. Nanotechnology IR detectors, quantum wires, infrared photodetectors, photo and dark current, responsivity and detectivity, average quantum wire density, lateral size, operating temperatures.