How many factors of 3600 are perfect squares?
A. 12
B. 9
C. 8
D. 10
A. 12
B. 9
C. 8
D. 10
Best answer
Answer: A. 12
Answer: (A) 12
3600 = \(2^4 \times 3^2 \times 5^2\). A square factor uses even powers only.
Choices: power of 2 from {0, 2, 4} (3 ways), of 3 from {0, 2} (2 ways), of 5 from {0, 2} (2 ways). Total = 3 × 2 × 2 = 12.
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