Q: What are the prime factors of the number 577,863?

 A: 3, 11, 13, 449

Why are those the prime factors of the number 577,863?

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 577,863

577,863
Factor Arrows
3192,621
Factor Arrows
364,207
Factor Arrows
115,837
Factor Arrows
13449

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, 11, 13, 449

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 13 x 449 = 577,863

This can also be written as 32 x 111 x 131 x 4491 = 577,863

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


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