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The number which is four more than the square of 625 has exactly two prime factors. Determine what they are?

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507, 609

517, 617

577, 677

411, 523

answer is C.

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Detailed Solution

Given, The number is four more than the square = 625

Number = (625)^{2} + 4

= 390, 625 + 4

= 390, 629

Now we have calculated the factors of 390629,

= 390629

= 577 \times 677

Hence, 577 and 677 are the prime factors of 390,629.
Option 3 is correct.

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