Question
If total number of factors of 2,520 is 'x', then find
the value of (x - 7) (x + 1).Solution
Factors of 2,520 = 2³ × 3² × 5¹ × 7¹
So, total number of factors = (3 + 1) (2 + 1) (1 + 1) (1 + 1) = 4 × 3 × 2 × 2 = 48
Required value = (x - 7) (x + 1) = 41 × 49 = 2009
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