Question
If total number of factors of 3,240 is 'x', then find
the value of (x - 3)(x + 5).Solution
Factors of 3,240 = 2³ × 3⁴ × 5
So, total number of factors = (3 + 1)(4 + 1)(1 + 1) = 4 × 5 × 2 = 40
Required value = (x - 3)(x + 5) = (40 - 3)(40 + 5) = 37 × 45 = 1665
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