Q: What are the prime factors of the number 26,704,053?

 A: 3, 227, 4357

Why are those the prime factors of the number 26,704,053?

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 26,704,053

26,704,053
Factor Arrows
38,901,351
Factor Arrows
32,967,117
Factor Arrows
3989,039
Factor Arrows
2274,357

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:

3, 227, 4357

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 227 x 4,357 = 26,704,053

This can also be written as 33 x 2271 x 4,3571 = 26,704,053

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


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