Question
If the total number of factors of 1250 is 'y', then find
the value of (y - 4)(y + 7).Solution
The prime factorization of 1250 is 2¹ × 5⁴. The total number of factors is (1+1)(4+1) = 10. Therefore, y = 10. (y - 4)(y + 7) = (10 - 4)(10 + 7) = 6 × 17 = 102.
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