Q: What are the prime factors of the number 15,004,048?

 A: 2, 61, 15373

Why are those the prime factors of the number 15,004,048?

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 15,004,048

15,004,048
Factor Arrows
27,502,024
Factor Arrows
23,751,012
Factor Arrows
21,875,506
Factor Arrows
2937,753
Factor Arrows
6115,373

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, 61, 15373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61 x 15,373 = 15,004,048

This can also be written as 24 x 611 x 15,3731 = 15,004,048

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


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