Q: What are the prime factors of the number 26,010,999?

 A: 3, 7, 23, 29, 619

Why are those the prime factors of the number 26,010,999?

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 26,010,999

26,010,999
Factor Arrows
38,670,333
Factor Arrows
32,890,111
Factor Arrows
7412,873
Factor Arrows
2317,951
Factor Arrows
29619

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, 23, 29, 619

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 23 x 29 x 619 = 26,010,999

This can also be written as 32 x 71 x 231 x 291 x 6191 = 26,010,999

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


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