The news comes after a filing with California's employment department on Tuesday.
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More than 1,400 of the laid off employees work at the Fremont factory and several dozen work in Palo Alto.
MORE: Tesla sales plunge far more than expected
Earlier this month, CEO Elon Musk announced the automaker would reduce staff by 10%.
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Tesla has been under pressure due to declining sales and stronger competition from other electric vehicle makers.