Question
If total number of factors of 1,260 is 'x', then find
the value of (x - 4) (x + 6).Solution
Factors of 1,260 = 2² × 3² × 5¹ × 7¹
So, total number of factors = (2 + 1) (2 + 1) (1 + 1) (1 + 1) = 3 × 3 × 2 × 2 = 36
Required value = (x - 4) (x + 6) = 32 × 42 = 1344
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