Internship Interview

Hi,
I have been applying to numerous internship opportunities through one hospital organization, but different hospitals. Recently I received a call from the HR department stating that they wanted to interview me! My interview is scheduled within the next week. I have been continuing to check their website just to see if new positions open up. Today I noticed that there are four new internships available for the same organization, just a different hospital. Should I continue to apply to those positions for the organization, even though I received an interview with that organization but a different hospital?
Definitely. Think of it as applying for a job. You keep applying for new jobs until you've accepted one. An interview is no guarantee you'll get the job, so you want to make sure you have options.