Q: What are the prime factors of the number 12,403,027?

 A: 7, 13, 19471

Why are those the prime factors of the number 12,403,027?

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 12,403,027

12,403,027
Factor Arrows
71,771,861
Factor Arrows
7253,123
Factor Arrows
1319,471

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:

7, 13, 19471

We can check our work by multiplying all of the prime factors together: 7 x 7 x 13 x 19,471 = 12,403,027

This can also be written as 72 x 131 x 19,4711 = 12,403,027

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


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