Select the correct option based on the following statements regarding the Fundamental Theorem of Arithmetic (Unique Factorization Theorem). Statement A: Every composite number greater than 1 can be expressed uniquely as a product of prime numbers, up to the order of factors. Statement B: The prime factorization of the denominator of a rational number determines if its decimal expansion terminates.

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Mathematics · Number Theory

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

Both statements A and B are true.

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Answer 1

Statement A is true, but statement B is false.

Answer 2

Both statements A and B are true.

Answer 3

Statement A is false, but statement B is true.

Answer 4

Both statements A and B are false.

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