Q: What are the prime factors of the number 15,380,876?

 A: 2, 7, 271, 2027

Why are those the prime factors of the number 15,380,876?

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 15,380,876

15,380,876
Factor Arrows
27,690,438
Factor Arrows
23,845,219
Factor Arrows
7549,317
Factor Arrows
2712,027

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, 7, 271, 2027

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 271 x 2,027 = 15,380,876

This can also be written as 22 x 71 x 2711 x 2,0271 = 15,380,876

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


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