Q: What are the prime factors of the number 15,028,884?

 A: 2, 3, 13, 17, 1889

Why are those the prime factors of the number 15,028,884?

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 15,028,884

15,028,884
Factor Arrows
27,514,442
Factor Arrows
23,757,221
Factor Arrows
31,252,407
Factor Arrows
3417,469
Factor Arrows
1332,113
Factor Arrows
171,889

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, 13, 17, 1889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 17 x 1,889 = 15,028,884

This can also be written as 22 x 32 x 131 x 171 x 1,8891 = 15,028,884

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


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