Question
If total number of factors of 2,430 is 'x', then find
the value of (x - 6)(x + 1).Solution
Factors of 2,430 = 2 × 3⁵ × 5
So, total number of factors = (1 + 1)(5 + 1)(1 + 1) = 2 × 6 × 2 = 24
Required value = (x - 6)(x + 1) = (24 - 6)(24 + 1) = 18 × 25 = 450
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