Q: What are the prime factors of the number 504,674,860?

 A: 2, 5, 83, 304021

Why are those the prime factors of the number 504,674,860?

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 504,674,860

504,674,860
Factor Arrows
2252,337,430
Factor Arrows
2126,168,715
Factor Arrows
525,233,743
Factor Arrows
83304,021

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, 5, 83, 304021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 83 x 304,021 = 504,674,860

This can also be written as 22 x 51 x 831 x 304,0211 = 504,674,860

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


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