Q: What are the prime factors of the number 6,599,439?

 A: 3, 7, 11, 89, 107

Why are those the prime factors of the number 6,599,439?

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 6,599,439

6,599,439
Factor Arrows
32,199,813
Factor Arrows
3733,271
Factor Arrows
7104,753
Factor Arrows
119,523
Factor Arrows
89107

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, 11, 89, 107

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 89 x 107 = 6,599,439

This can also be written as 32 x 71 x 111 x 891 x 1071 = 6,599,439

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


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