Q. 7. Which expression shows a prime factorization?A. 2⋅9⋅11B. 2.5⋅7⋅3C. 1⋅11⋅13D. 2⋅2⋅2⋅3⋅11
Question Prompt: Question prompt: Identify the expression that shows a prime factorization.
Option A: Check option A: 2×9×11. Since 9 is not a prime number (it's 3×3), this cannot be a prime factorization.
Option B: Check option B: 2.5×7×3. The number 2.5 is not an integer, and prime factorization requires prime numbers which are integers. So, this is not a prime factorization.
Option C: Check option C: 1×11×13. While 11 and 13 are prime numbers, 1 is not considered a prime factor because it does not have exactly two distinct natural number divisors. Therefore, this is not a prime factorization.
Option D: Check option D: 2×2×2×3×11. All the numbers listed are prime numbers, and they are multiplied together. This is a prime factorization.
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