Q: What are the prime factors of the number 573,426,416?

 A: 2, 83, 431797

Why are those the prime factors of the number 573,426,416?

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 573,426,416

573,426,416
Factor Arrows
2286,713,208
Factor Arrows
2143,356,604
Factor Arrows
271,678,302
Factor Arrows
235,839,151
Factor Arrows
83431,797

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, 83, 431797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 83 x 431,797 = 573,426,416

This can also be written as 24 x 831 x 431,7971 = 573,426,416

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


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