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find the prime factorization of 2800.
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the prime factorization of 2800 is 2² x 2² x 5² x 7. this can be written as 2800 = 2⁴ x 5² x 7.  each of the prime factors' exponents indicates the number of times that number appears in the factorization. in this case, 2² appears 4 times, 5² appears 2 times, and 7 appears 1 time. the product of the factors gives 2800.
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