Q: What are the prime factors of the number 26,002,626?

 A: 2, 3, 13, 333367

Why are those the prime factors of the number 26,002,626?

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 26,002,626

26,002,626
Factor Arrows
213,001,313
Factor Arrows
34,333,771
Factor Arrows
13333,367

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, 13, 333367

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 333,367 = 26,002,626

This can also be written as 21 x 31 x 131 x 333,3671 = 26,002,626

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


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