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Digital encryption is based on prime factorization of really large numbers. Each software manufacturer writes a specific algorithm to encode each password with a semi-random large number. And the characters you chose are encoded with the prime factorization of that number. Since every number has a "unique" prime factorization that's what makes it secure. Password "hacking programs" run through several prime factors systematically until it finds the right one and "decodes" the password.

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Q: What are the mathematical basis for phone and email hacking?
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Related questions

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