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What is the prime factorization of 49?

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Quick Answer

The prime factorization of 49 is equal to 7*7. The prime factorization of a number is a way of representing a number as the result of two or more prime factors.

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Full Answer

It is possible for there to be more than one prime factorization for a number, although it is uncommon. The simplest way to find a solution is to divide the original number by its smallest prime factor. In the case of 49, the smallest common factor is 7, and 49 divided by 7 is 7. Since 7 is a prime number, this is the final solution. If the result was not a prime number, the process would be repeated using that new number as the base number.

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