But why does Amex does it differently with their 4 digit CVV? Goolge search doesn't reveal any good answer. Thats a big confusion. Anyway cards could have put CVV beside the number if they wanted. In that case I think people would have found them.
Confusingly Amex has both a 4 digit CID (Front) and 3 digit CSC (Back). The latter I think is only ever used internally by Amex, not for transaction processing.
My AmEx cards have a 3 digit CVV seeming number on the back in addition to the four digit one on the front.