Battery with a fire protection device and motor vehicle

A battery with a fire protection device, wherein the battery includes a plurality of battery cells and a battery housing, wherein a respective battery cell is arranged in an interior space of the battery housing. The fire protection device includes a composite layer with a thermal insulation layer and with a protective layer arranged on the insulation layer, wherein the composite layer is arranged on a battery housing interior side facing the interior space of the battery housing, and the insulation layer is arranged as an intermediate layer between a surface of the battery housing interior side and the protective layer and is protected by the protective layer against a gas and/or flame stream exiting the respective battery cell in the event of damage, whereby its thermally insulating properties are maintained.