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Try every single Prime number first- since 2, 3, 5, 7 (basic division), 11, and 13 doesn't work, we have to use another method- subjective divisibility.
Try 17:
6(1000) + 1(100) + 3(10) + 7 mod 17 = 6(14) + 15 + 3(10) + 7 mod 17 = 84 + 5 + 13 mod 17 = 0
Thus, dividing 6137 by 17, we make 361, which is 192. Therefore, the prime factorization of 6137 is 17 * 192.
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