Q: What are the prime factors of the number 576,517,744?

 A: 2, 11, 3275669

Why are those the prime factors of the number 576,517,744?

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 576,517,744

576,517,744
Factor Arrows
2288,258,872
Factor Arrows
2144,129,436
Factor Arrows
272,064,718
Factor Arrows
236,032,359
Factor Arrows
113,275,669

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, 3275669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 3,275,669 = 576,517,744

This can also be written as 24 x 111 x 3,275,6691 = 576,517,744

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


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