Q: What are the prime factors of the number 511,032,054?

 A: 2, 3, 13, 6551693

Why are those the prime factors of the number 511,032,054?

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 511,032,054

511,032,054
Factor Arrows
2255,516,027
Factor Arrows
385,172,009
Factor Arrows
136,551,693

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, 13, 6551693

We can check our work by multiplying all of the prime factors together: 2 x 3 x 13 x 6,551,693 = 511,032,054

This can also be written as 21 x 31 x 131 x 6,551,6931 = 511,032,054

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


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