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When you turn on your mac, click on the icon of apple, then click on about this mac and then click on more info so you will come to know what you want.

Take out the battery of your psp and look at where the battery was. There should be two stickers. Loot at the top right hand side of the big sticker and look for a number. If the first three digits are: 100=> It is a psp phat. 200=> It is a psp slim. 300=> It is a psp lite. This is the simplest way to know the type/model of your psp.