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There's another tool for those times when you need to generate all other kinds of data.
The MOD 10 algorithm is a checksum (detection of errors) formula which is the common name for the Luhn algorithm.
When we say they are valid, we merely imply that they are a possible combination of characters which will validate when passed through the MOD 10 algorithm.
The other reason we made this are programmers testing ecommerce websites, applications or other software.
They usually need lots of fake data, and this is a very easy way to generate a bunch of valid credit card numbers in a split second.
This formula has been in use to validate a lot of identification numbers besides credit cards since its development by scientist Hans Peter Luhn from IBM.
To teach you how to manually validate a specific number, lets do an example: Say we have In order for a credit card number to be valid, it has to be validated by the MOD 10 algorithm.