Question
If total number of factors of 1,575 is 'x', then find
the value of (x - 3) (x + 9).Solution
Factors of 1,575 = 3² × 5² × 7¹
So, total number of factors = (2 + 1) (2 + 1) (1 + 1) = 3 × 3 × 2 = 18
Required value = (x - 3) (x + 9) = 15 × 27 = 405
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