Q: What are the prime factors of the number 6,270,831?

 A: 3, 7, 33179

Why are those the prime factors of the number 6,270,831?

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 6,270,831

6,270,831
Factor Arrows
32,090,277
Factor Arrows
3696,759
Factor Arrows
3232,253
Factor Arrows
733,179

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, 33179

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 33,179 = 6,270,831

This can also be written as 33 x 71 x 33,1791 = 6,270,831

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


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