Q: What are the prime factors of the number 512,284,423?

 A: 7, 101, 293, 2473

Why are those the prime factors of the number 512,284,423?

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 512,284,423

512,284,423
Factor Arrows
773,183,489
Factor Arrows
101724,589
Factor Arrows
2932,473

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:

7, 101, 293, 2473

We can check our work by multiplying all of the prime factors together: 7 x 101 x 293 x 2,473 = 512,284,423

This can also be written as 71 x 1011 x 2931 x 2,4731 = 512,284,423

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


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