Q: What are the prime factors of the number 573,924?

 A: 2, 3, 13, 283

Why are those the prime factors of the number 573,924?

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 573,924

573,924
Factor Arrows
2286,962
Factor Arrows
2143,481
Factor Arrows
347,827
Factor Arrows
133,679
Factor Arrows
13283

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, 3, 13, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 13 x 13 x 283 = 573,924

This can also be written as 22 x 31 x 132 x 2831 = 573,924

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


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