Question
If total number of factors of 3,150 is 'x', then find
the value of (x - 6) (x + 3).Solution
Factors of 3,150 = 2¹ × 3² × 5² × 7¹
So, total number of factors = (1 + 1) (2 + 1) (2 + 1) (1 + 1) = 2 × 3 × 3 × 2 = 36
Required value = (x - 6) (x + 3) = 30 × 39 = 1170
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