Q: What are the prime factors of the number 15,331,712?

 A: 2, 11, 10889

Why are those the prime factors of the number 15,331,712?

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 15,331,712

15,331,712
Factor Arrows
27,665,856
Factor Arrows
23,832,928
Factor Arrows
21,916,464
Factor Arrows
2958,232
Factor Arrows
2479,116
Factor Arrows
2239,558
Factor Arrows
2119,779
Factor Arrows
1110,889

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, 11, 10889

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 10,889 = 15,331,712

This can also be written as 27 x 111 x 10,8891 = 15,331,712

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


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