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Download this app and it will tell you. You will need a pair of wired headphones plugged in.
Keep in mind if it says not active doesn't mean it has everything hooked and and needs software only.
I was looking at the Music player capabilities of the Core Prime and it looks like it does not support FM at this time. Tidbits recommendation of NextRadio is key though as most phones that do support FM radio have no built in FM radio application so you will need an app like this to be able to use the service.