Barnes & Noble Inc. (BKS) - Get Report has put itself up for sale, and the company that killed the bookseller --Amazon.com Inc. (AMZN) - Get Report -- should buy it.

One of the most likely buyers, according to reports, is Barnes & Noble Executive Chairman Leonard Riggio, who has a 19.2% stake in the company. But that shouldn't stop Amazon from looking at the books of the erm ... bookseller.

Amazon could take all of Barnes & Noble's inventory and put it all on its website, taking the final slice of the market for books that BKS had. It wouldn't be a groundbreaking move, but why let some other company compete in selling books online? Why not just take the books?

The second question is feasibility. What really makes this a no-brainer in my eyes is that Barnes & Noble is obviously a small company now, with a market cap of $398.68 million. Amazon has about $20 billion in cash on hand. Assuming a roughly 20% premium, Amazon could buy the struggling book retailer for around $477 million.

To be a profitable investor and build long-term wealth, you need the right information and techniques. Join TheStreet Oct. 13, 2018, for a special investing event for sophisticated and active traders. Register for "Invest Like the Pros: Jim Cramer's Boot Camp for Investors" here.

The last question is what do Barnes & Noble shareholders want? They want the best deal, and if Amazon really wants to buy it can easily outbid Riggio, who has a net worth of far less than $1 billion. We'll have to see what other bidders are out there, as The Wall Street Journal mentioned there could be others, but Amazon's deep pockets are an advantage.

Start, and end, your trading day right with TheStreet's 'Daily Snapshot' on your favorite smart-speaker. Learn more about TheStreet's market coverage for your trusted smart-speaker here.

One thing Amazon possibly could want to avoid is any real estate owned by Barnes & Noble. If Amazon bought Barnes & Noble, it does have a few options as to what to do with the real estate. But whatever it does, Amazon would have to sell at least a large chunk of it. That's quite a project, as vetting for a buyer takes time, and Amazon wants to focus on selling products on its platform, not real estate it inherited. Therefore, Amazon could just buy the inventory of Barnes & Noble if the shareholders decide to liquidate all the assets to various buyers, rather than to explore an outright sale of the company to one buyer.

But Barnes & Noble shareholders might get more money just selling the company, which is why Amazon may want to make a bid if it's interested taking another slice of the book market.

Amazon is a holding in Jim Cramer's Action Alerts PLUS member club. Want to be alerted before Jim Cramer buys or sells AMZN? Learn more no

What Are "Closed-End" Mutual Funds and How Do They Fit into Savvy Investors' Portfolios?Click here to register for a free online video in which TheStreet's retirement expert Robert Powell and an all-star panel run down all you need to know.