Other than its general uses in math classes. The most important use is encryption.
When you have information that you are encrypting you embed into a "very" large number. (the bigger the number the better the encryption)
Then the key to unlocking that encryption is the prime factors of that "very" large number.
By "very" large number I mean numbers with more than 1,000,000,000 digits since the largest "known" Prime number is around 50,000,000 digits
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Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.
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Factoring
You can't get zero by factoring. Simple enough.
Prime factorization is a powerful tool when finding the lowest common multiple for use in fractions and greatest common factor when reducing fractions. It is used in algebra to find the possible factoring combinations when factoring polynomials.