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      Question

      The sum of the exponents of the prime factors in the

      prime factorization of 225 is
      A 4 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 1 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let’s break 225 into prime factors: 225 = 3 × 3 × 5 × 5 So, 225 = 3² × 5² Then, add the exponents: The exponent of 3 is 2. The exponent of 5 is 2. Total = 2 + 2 = 4. Hence, 4 is the answer.

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