Question
If total number of factors of 5,292 is 'x', then find
the value of (x - 7)(x + 2).Solution
Factors of 5,292 = 2² × 3³ × 7²
So, total number of factors = (2 + 1)(3 + 1)(2 + 1) = 3 × 4 × 3 = 36
Required value = (x - 7)(x + 2) = (36 - 7)(36 + 2) = 29 × 38 = 1102
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