Q: What are the prime factors of the number 26,110,539?

 A: 3, 7, 13, 10627

Why are those the prime factors of the number 26,110,539?

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 26,110,539

26,110,539
Factor Arrows
38,703,513
Factor Arrows
32,901,171
Factor Arrows
3967,057
Factor Arrows
7138,151
Factor Arrows
1310,627

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, 7, 13, 10627

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 13 x 10,627 = 26,110,539

This can also be written as 33 x 71 x 131 x 10,6271 = 26,110,539

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


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