Q: What are the prime factors of the number 520,887,627?

 A: 3, 13, 139, 32029

Why are those the prime factors of the number 520,887,627?

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 520,887,627

520,887,627
Factor Arrows
3173,629,209
Factor Arrows
357,876,403
Factor Arrows
134,452,031
Factor Arrows
13932,029

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:

3, 13, 139, 32029

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 139 x 32,029 = 520,887,627

This can also be written as 32 x 131 x 1391 x 32,0291 = 520,887,627

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


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