Q: What are the prime factors of the number 3,059,904?

 A: 2, 3, 15937

Why are those the prime factors of the number 3,059,904?

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 3,059,904

3,059,904
Factor Arrows
21,529,952
Factor Arrows
2764,976
Factor Arrows
2382,488
Factor Arrows
2191,244
Factor Arrows
295,622
Factor Arrows
247,811
Factor Arrows
315,937

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, 15937

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 3 x 15,937 = 3,059,904

This can also be written as 26 x 31 x 15,9371 = 3,059,904

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


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