Q: What are the prime factors of the number 6,027,904?

 A: 2, 47093

Why are those the prime factors of the number 6,027,904?

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 6,027,904

6,027,904
Factor Arrows
23,013,952
Factor Arrows
21,506,976
Factor Arrows
2753,488
Factor Arrows
2376,744
Factor Arrows
2188,372
Factor Arrows
294,186
Factor Arrows
247,093

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, 47093

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 47,093 = 6,027,904

This can also be written as 27 x 47,0931 = 6,027,904

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


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