Answer :

Final answer:

The prime factorization of the number 91 is 7 x 13. This method involves determining the prime numbers that multiply together to produce 91. Other options provided do not result in 91 when multiplied.

Explanation:

The subject of this question pertains to determining the prime factorization of the number 91. Prime factorization is a method used in mathematics to express a given number as a product of prime numbers. A prime number is a number that has exactly two distinct positive divisors: 1 and the number itself.

In the case of 91, the correct prime factorization is 7 x 13. This is found by determining the prime numbers that multiply together to produce 91. The other given options, namely 2 x 3 x 5 x 7; 11 x 9; and 17 x 5, do not result in 91 when multiplied together. Therefore, the correct choice is option a) 7 x 13, based on process of prime decomposition.

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