There are multiple uses of prime factorization, though we have only gone over a few. One way we used prime factorization was to find the least common multiple, greatest common denominator, and finding how many divisors and so forth.

Finding the prime factorization is very helpful becasue it is often easier to work with smaller numbers rather than doing intense math.

I believe that cryptogrophy will use prime factorizations to help decode the problems because you may be able to find a code and be able to realize that the gcd equals one letter than the same for antoehr.

It is very important that we learn to do the prime factorization of numbers because it is used in a varitety of problems.