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Prime factorization : A prime factorization of a natural number writes the natural number as a product of prime factors. A prime factorization is usually stated in the form $n=\prod p_i^{n_i}.$ For example the prime factorization of 12 is $12=2^2\cdot 3.$ The fundamental theorem of arithmetic says that every number has a unique prime factorization (disregarding the order of the factors).
What is the prime factorization of 1200?
What is the prime factorization of 10800?
Exponent : In a power $a^x$ the number $x$ is called the exponent of the power.
Number : A number $x$ is a mathematical symbol representing a quantity.
Prime factor : A prime factor is a factor that is a prime number.
Sum : A sum is the result of an addition.
What is the sum of the exponents in the prime factorization of 210?