Q: What are the prime factors of the number 577,422,439?

 A: 11, 53, 59, 16787

Why are those the prime factors of the number 577,422,439?

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 577,422,439

577,422,439
Factor Arrows
1152,492,949
Factor Arrows
53990,433
Factor Arrows
5916,787

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:

11, 53, 59, 16787

We can check our work by multiplying all of the prime factors together: 11 x 53 x 59 x 16,787 = 577,422,439

This can also be written as 111 x 531 x 591 x 16,7871 = 577,422,439

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


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