The number of factors of 1080 is
(a) 32
(b) 28
(c) 24
(d) 36

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Solution

1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5 = 2³ × 3³ × 5¹
Thus, the total number of factors ig given by
(3 + 1)(3 + 1)(1 + 1) = 32
Hence, the correct answer is option (a).

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