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Which expression shows a prime factorization?
A. 
2*9*11
B. 
2.5*7*3
C. 
1*11*13
D. 
2*2*2*3*11

77. Which expression shows a prime factorization?\newlineA. 2911 2 \cdot 9 \cdot 11 \newlineB. 2.573 2.5 \cdot 7 \cdot 3 \newlineC. 11113 1 \cdot 11 \cdot 13 \newlineD. 222311 2 \cdot 2 \cdot 2 \cdot 3 \cdot 11

Full solution

Q. 77. Which expression shows a prime factorization?\newlineA. 2911 2 \cdot 9 \cdot 11 \newlineB. 2.573 2.5 \cdot 7 \cdot 3 \newlineC. 11113 1 \cdot 11 \cdot 13 \newlineD. 222311 2 \cdot 2 \cdot 2 \cdot 3 \cdot 11
  1. Question Prompt: Question prompt: Identify the expression that shows a prime factorization.
  2. Option A: Check option A: 2×9×112\times9\times11. Since 99 is not a prime number (it's 3×33\times3), this cannot be a prime factorization.
  3. Option B: Check option B: 2.5×7×32.5\times7\times3. The number 2.52.5 is not an integer, and prime factorization requires prime numbers which are integers. So, this is not a prime factorization.
  4. Option C: Check option C: 1×11×131\times11\times13. While 1111 and 1313 are prime numbers, 11 is not considered a prime factor because it does not have exactly two distinct natural number divisors. Therefore, this is not a prime factorization.
  5. Option D: Check option D: 2×2×2×3×112 \times 2 \times 2 \times 3 \times 11. All the numbers listed are prime numbers, and they are multiplied together. This is a prime factorization.

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