Question
If total number of factors of 1,080 is 'x', then find the value of (x - 4)(x + 3).
Solution
Factors of 1,080 = 2³ × 3³ × 5
So, total number of factors = (3 + 1)(3 + 1)(1 + 1) = 4 × 4 × 2 = 32
Required value = (x - 4)(x + 3) = (32 - 4)(32 + 3) = 28 × 35 = 980
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