Q: What are the prime factors of the number 575,744,831?

Why are those the prime factors of the number 575,744,831?

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 575,744,831

	575,744,831
17		33,867,343
	113		299,711

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:

17, 113, 299711

We can check our work by multiplying all of the prime factors together: 17 x 113 x 299,711 = 575,744,831

This can also be written as 17¹ x 113¹ x 299,711¹ = 575,744,831

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

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