Q: What are the prime factors of the number 581,034,872?

 A: 2, 11, 6602669

Why are those the prime factors of the number 581,034,872?

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 581,034,872

581,034,872
Factor Arrows
2290,517,436
Factor Arrows
2145,258,718
Factor Arrows
272,629,359
Factor Arrows
116,602,669

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:

2, 11, 6602669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 6,602,669 = 581,034,872

This can also be written as 23 x 111 x 6,602,6691 = 581,034,872

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


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