What is the prime factorization of 360 expressed in index form?
Answer and explanation
Correct answer: A. 2^3 3^2 5
- Step 1: Divide 360 repeatedly: 360 ÷ 2 = 180, 180 ÷ 2 = 90, 90 ÷ 2 = 45. Step 2. 45 ÷ 3 = 15, 15 ÷ 3 = 5, 5 ÷ 5 = 1. Prime factors: 2^3 3^2 5. *Answer: 2^3 3^2 5. Why not the others: 2^2 3^3 5 = 4 27 5 = 540; 2^3 3 5^2 = 8 3 25 = 600; 2^4 3^2 * 5 = 720.
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