Q: What are the prime factors of the number 12,971,673?

 A: 3, 11, 13, 10079

Why are those the prime factors of the number 12,971,673?

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 12,971,673

12,971,673
Factor Arrows
34,323,891
Factor Arrows
31,441,297
Factor Arrows
11131,027
Factor Arrows
1310,079

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:

3, 11, 13, 10079

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 13 x 10,079 = 12,971,673

This can also be written as 32 x 111 x 131 x 10,0791 = 12,971,673

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


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