Hi Yaniv Mendiuk,
Thank you for reaching Microsoft Community. I understand that you have a Microsoft Wireless Mouse 1000 that was originally paired with a Wireless Keyboard 850 using a single dongle, and you want to know how to find the product ID for the dongle. I appreciate your efforts in trying to match the keyboard and the mouse based on the product ID located on the back of both devices.
Unfortunately, there is no easy way to find the product ID for the dongle, as it is not printed on the dongle itself or in the drivers. Most of Microsoft's newer wireless mouse products do not support user "pairing", which means that the mouse and the nano transceiver are matched at the factory and cannot be paired with another transceiver. This also means that you cannot use another transceiver with your mouse if you lose or break the original one. The only way to identify which dongle belongs to which keyboard and mouse is to test them one by one until you find a working combination. You can do this by plugging in a dongle to your computer, turning on the keyboard and the mouse, and checking if they work properly. If they do not work, try another dongle until you find the right one. You can also use a label maker or a marker to label each dongle with its corresponding keyboard and mouse product ID once you find them.
I apologize for any inconvenience this may cause you. I hope this information helps you resolve your issue. If you have any other questions or concerns, please feel free to reply to this message or visit our support website at https://support.microsoft.com/en-us/surface. Thank you for choosing Microsoft Surface products. Have a great day!
Kind regards,
Marrion