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    Question

    The sum of the exponents of the prime factors in the

    prime factorization of 360 is
    A 4 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    ATQ, Let’s break 360 into prime factors: 360 = 2 × 2 × 2 × 3 × 3 × 5 So, 360 = 2³ × 3² × 5¹ Then, add the exponents: The exponent of 2 is 3. The exponent of 3 is 2. The exponent of 5 is 1. Total = 3 + 2 + 1 = 6. Hence, 6 is the answer.

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