Q: What are the prime factors of the number 573,324?

 A: 2, 3, 47777

Why are those the prime factors of the number 573,324?

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 573,324

573,324
Factor Arrows
2286,662
Factor Arrows
2143,331
Factor Arrows
347,777

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, 47777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 47,777 = 573,324

This can also be written as 22 x 31 x 47,7771 = 573,324

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


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