Your respective parents can claim you as dependents if they provide more than half of your support and if you are under 24 and full time students as of the end of 2016.
If you are 24 or over, the additional condition is that you have income of less than $4,050 in 2016.
If you have income, each of you have to file a tax return as Married filing Separately and indicate in your returns that Someone else is claiming you as a dependent.
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