Q: What are the prime factors of the number 15,015,728?

 A: 2, 7, 13, 10313

Why are those the prime factors of the number 15,015,728?

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 15,015,728

15,015,728
Factor Arrows
27,507,864
Factor Arrows
23,753,932
Factor Arrows
21,876,966
Factor Arrows
2938,483
Factor Arrows
7134,069
Factor Arrows
1310,313

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, 13, 10313

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 13 x 10,313 = 15,015,728

This can also be written as 24 x 71 x 131 x 10,3131 = 15,015,728

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


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