Q: What are the prime factors of the number 573,512,672?

 A: 2, 43, 416797

Why are those the prime factors of the number 573,512,672?

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 573,512,672

573,512,672
Factor Arrows
2286,756,336
Factor Arrows
2143,378,168
Factor Arrows
271,689,084
Factor Arrows
235,844,542
Factor Arrows
217,922,271
Factor Arrows
43416,797

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, 43, 416797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 416,797 = 573,512,672

This can also be written as 25 x 431 x 416,7971 = 573,512,672

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


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