Q: What are the prime factors of the number 12,938,080?

 A: 2, 5, 80863

Why are those the prime factors of the number 12,938,080?

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 12,938,080

12,938,080
Factor Arrows
26,469,040
Factor Arrows
23,234,520
Factor Arrows
21,617,260
Factor Arrows
2808,630
Factor Arrows
2404,315
Factor Arrows
580,863

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, 80863

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 80,863 = 12,938,080

This can also be written as 25 x 51 x 80,8631 = 12,938,080

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


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