Provided is a multi-layered sheet which has undergone heating corresponding to brazing, such as an aluminum-alloy radiator tube, or a multi-layered sheet such as an aluminum-alloy brazing sheet. The multi-layered sheet can have a reduced thickness and has excellent fatigue properties. The multi-layered sheet of aluminum alloys comprises a core layer (2) which has been clad at least with a sacrificial layer (3). This multi-layered sheet is a multi-layered sheet to be subjected to brazing or welding to produce a heat exchanger or is a multi-layered sheet which has undergone heating corresponding to brazing. The core layer (2) comprises a specific 3000-series composition. In this core layer (2), the average density in number of dispersed particles having a specific size has been regulated. As a result, fatigue properties, which govern cracking, can be highly improved.