Ranking Factors
Although not all of the ranking factors for Amazon’s search engine are known publicly, the following items cover the most useful known factors.

Product Name
Amazon’s search engine appears to work mostly off of relevancy metrics.This means that the product name is essential for ranking high in Amazon for a given search term or phrase.
The name of the product appears to be the most important ranking metric.It is best to use user-friendly language. To aid in this, you can do keyword research in traditional search engine tools or through Amazon’s predictive search engine. For example, when you start typing a query in an Amazon search box, a drop-down box begins to predict what you’re trying to type. These searches are based on popularity, although Amazon is not eager to divulge relative popularity numbers, the time period measured, and so on.
The product name and description can only be modified by the product seller, so it is best if they are optimized before they are sent to Amazon. This optimization should be done based on keyword research.
There is the option for customers to request to update listings, but at the time of writing that process is unreliable.
Tags
When a user tags a product on Amazon , it helps Amazon determine product relevancy. This is an easy metric to influence and should be used but not abused. Every Amazon account can vote for a tag only once. I don’t recommend creating ghost Amazon accounts to bypass this limit because spam detectors are surely in place.