Modern encryption methods use prime numbers for keys.
Prime numbers are used in multiple shops for seeking out the price of many objects, for example, if a load of 'KitKats' were being delivered, and the shop was a particular perfectionist and wanted the same amount of KitKats in every box, they would count them up, and if their total was a Prime number, they would have a problem on their hand
One big use in in coding information like credit card numbers on the computer so that they remain private. One of the first algorithms that did this was called RSA. The ones that are used now are much more sophisticated.
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Prime numbers are used to encrypt credit cards and identify them.
cryptography
Any two prime numbers will be relatively prime. Numbers are relatively prime if they do not have any prime factors in common. Prime numbers have only themselves as prime factors, so all prime numbers are relatively prime to the others.
They're used extensively in encryption.
Products of prime numbers are composite numbers.