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Before you graduate you should take a complete inventory of your student loans. Make sure you know what you owe, what type of loan it is (unsubsidized, subsidized, PLUS, federal vs. private), and who holds the debt. Register for online accounts with all your loan servicers and make sure to keep your contact information updated so they can reach you if they need information or a problem arises.
You can make payments on your loans at any time, even before they enter repayment. And you may want to pay off some of the outstanding interest before it capitalizes into the balance of your loan if you can.
You still have access to your school's financial aid office, so ask them for any resources they have on loan repayment and forgiveness programs. You should also have to complete exit counseling soon - pay attention to that resource as well.