Here are some tips that may help your cat's tartar fall off on its own:

Dietary adjustments: Provide foods rich in fiber, which helps clean teeth.
Oral cleaning: You can use special oral cleaning products for cats, such as oral sprays or dental cleaning solutions.
Dry brushing: Gently brush your cat's teeth with gauze or a soft toothbrush.
Cat toothpaste: Use a special cat toothpaste to brush your cat's teeth regularly.
Chewing toys: Provide some toys that help with chewing and cleaning teeth.
The role of water: Ensuring cats have adequate water intake helps keep their mouths moist.
Regular check-ups: Regularly check your cat's mouth to detect problems early.