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Q.

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


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a

507, 609

b

517, 617

c

577, 677

d

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
=577×677
Hence, 577 and 677 are the prime factors of 390,629.
Option 3 is correct.
 
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The number which is four more than the square of 625 has exactly two prime factors. Determine what they are?