Q: What are the prime factors of the number 12,503,231?

 A: 13, 61, 15767

Why are those the prime factors of the number 12,503,231?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 12,503,231

12,503,231
Factor Arrows
13961,787
Factor Arrows
6115,767

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

13, 61, 15767

We can check our work by multiplying all of the prime factors together: 13 x 61 x 15,767 = 12,503,231

This can also be written as 131 x 611 x 15,7671 = 12,503,231

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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