Resetting your MacBook Air to factory settings can be a challenge, especially if you've forgotten the password. However, there are still ways to accomplish this task. One method involves using the macOS Recovery Mode.

To reset your MacBook Air without the password, follow these steps:

1. Shut down your MacBook Air.
2. Press and hold Command + R while turning on your MacBook to enter Recovery Mode.
3. Once in Recovery Mode, choose Disk Utility and select your Mac's startup disk.
4. Click on Erase and confirm to erase the disk.
5. After disk erasure, select Reinstall macOS to reinstall the operating system.
6. Follow the on-screen instructions to complete the reinstallation process.

By following these steps, you can reset your MacBook Air to factory settings even without the password. Remember to back up your important data before proceeding with this process.