Q: What are the prime factors of the number 6,388,935?

 A: 3, 5, 7, 71, 857

Why are those the prime factors of the number 6,388,935?

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 6,388,935

6,388,935
Factor Arrows
32,129,645
Factor Arrows
5425,929
Factor Arrows
760,847
Factor Arrows
71857

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, 5, 7, 71, 857

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 71 x 857 = 6,388,935

This can also be written as 31 x 51 x 71 x 711 x 8571 = 6,388,935

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


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