Q: What are the prime factors of the number 12,431,010?

 A: 2, 3, 5, 414367

Why are those the prime factors of the number 12,431,010?

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 12,431,010

12,431,010
Factor Arrows
26,215,505
Factor Arrows
32,071,835
Factor Arrows
5414,367

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:

2, 3, 5, 414367

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 414,367 = 12,431,010

This can also be written as 21 x 31 x 51 x 414,3671 = 12,431,010

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


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