Q: What are the prime factors of the number 12,872,810?

 A: 2, 5, 29, 44389

Why are those the prime factors of the number 12,872,810?

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 12,872,810

12,872,810
Factor Arrows
26,436,405
Factor Arrows
51,287,281
Factor Arrows
2944,389

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, 5, 29, 44389

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 44,389 = 12,872,810

This can also be written as 21 x 51 x 291 x 44,3891 = 12,872,810

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


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