Question
If total number of factors of 1,800 is 'x', then find
the value of (x - 8) (x + 4).Solution
Factors of 1,800 = 2³ × 3² × 5² So, total number of factors = (3 + 1) (2 + 1) (2 + 1) = 4 × 3 × 3 = 36 Required value = (x - 8) (x + 4) = 28 × 40 = 1120
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