Q: What are the prime factors of the number 26,004,128?

 A: 2, 307, 2647

Why are those the prime factors of the number 26,004,128?

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 26,004,128

26,004,128
Factor Arrows
213,002,064
Factor Arrows
26,501,032
Factor Arrows
23,250,516
Factor Arrows
21,625,258
Factor Arrows
2812,629
Factor Arrows
3072,647

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, 307, 2647

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 307 x 2,647 = 26,004,128

This can also be written as 25 x 3071 x 2,6471 = 26,004,128

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


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