Prime factorization

By the Fundamental Theorem of Arithmetic, every positive integer has a unique prime factorization. What is a prime factorization? It is a representation of a number in terms of powers of primes (it is of the form ${p_1}^{e_1}\cdot$ ${p_2}^{e_2}\cdot{p_3}^{e_3}\cdots{p_k}^{e_k} = n$ , where n is any natural number). Prime factorizations are important in many ways, for instance, to simplify fractions.

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Prime factorization

Example Problem