Q: What are the prime factors of the number 8,644,077?

 A: 3, 13, 8209

Why are those the prime factors of the number 8,644,077?

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 8,644,077

8,644,077
Factor Arrows
32,881,359
Factor Arrows
3960,453
Factor Arrows
3320,151
Factor Arrows
3106,717
Factor Arrows
138,209

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, 13, 8209

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 13 x 8,209 = 8,644,077

This can also be written as 34 x 131 x 8,2091 = 8,644,077

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


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