Question
The sum of the exponents of the prime factors in the
prime factorization of 360 isSolution
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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