A display device includes a display unit, a Bluetooth module configured to perform Bluetooth communication with a remote control device or a mobile terminal, an IR module configured to receive an IR signal from the remote control device, and a controller configured to control the display unit, the Bluetooth module and the IR module. The controller may transmit, to the remote control device, a Bluetooth connection stop request signal for breaking Bluetooth connection with the remote control device, if the display device enters a speaker mode for outputting audio played by the mobile terminal.