CEO Elon Musk posted the number yesterday on his Twitter feed and said if the trend continues, Model 3 orders could hit 500,000 and would require another factory in Europe to meet demand.
Tesla also hopes to avoid the production delays it has had with other vehicles. The company said today that its deliveries were hampered in the first quarter by a parts shortage, due in part to it adding "far too much" new technology to the Model X in its first version.
Tesla has a history of missing deadlines for its vehicles to hit the market, but Musk said last week that he feels "fairly confident" that the Model 3 will come out next year.
Customers must put down USD 1,000 to order the cars, which start at USD 35,000 and have a range of 215 miles per charge. The Palo Alto, California, company started taking orders early Thursday, shortly before Musk unveiled the car in Los Angeles.
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Musk told people during weekend Twitter sessions that he expected one-quarter to one-half the number of orders. "No one at Tesla thought it would be this high before part two of the unveil" which will take place closer to when production starts, he wrote.
Musk, who hasn't given out all details of the Model 3 yet, says the car will be rear-wheel-drive with optional all-wheel-drive, and its steering controls will feel like a spaceship.
The large number of orders makes it likely that many won't get a USD 7,500 US electric car tax credit. The credit phases out when a manufacturer hits 200,000 in US sales. Tesla won't say how many of the orders came from the US, but Musk says in tweets that a production ramp-up should let large numbers of Model 3 customers get the tax credit.