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1269 can be written as 33 x 47. It is easy to see that 3 is a factor since the sum of the digits is a multiple of 3. After you divide out the first three, you will see that 3 is a factor of the number you have left. You can do this one more time and still add the digits of the number and see that it is a multiple of 3. The number you have left after dividing by 3, three times is 47.

In general, when you want to find the prime factorization, one method is to start with the smaller primes and divide the number by those. Primes like 47 will show up at the end.

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