Guess the prime factors
Algebra
Level
3
The number 1000027 has exactly one prime factor that is larger than 100 but less than 1000. Find this prime factor.
The answer is 103.
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1 solution
1 , 0 0 0 , 0 2 7 = 1 0 0 3 + 3 3 = ( 1 0 0 + 3 ) ( 1 0 0 0 0 − 3 0 0 + 9 ) = ( 1 0 3 ) ( 9 7 0 9 )
9 7 0 9 = 7 ∗ 1 3 8 7 so it has no prime factors between 100 and 1000.
So the answer is 1 0 3