Q: What are the prime factors of the number 515,631,231?

 A: 3, 61, 337, 929

Why are those the prime factors of the number 515,631,231?

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 515,631,231

515,631,231
Factor Arrows
3171,877,077
Factor Arrows
357,292,359
Factor Arrows
319,097,453
Factor Arrows
61313,073
Factor Arrows
337929

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, 61, 337, 929

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 61 x 337 x 929 = 515,631,231

This can also be written as 33 x 611 x 3371 x 9291 = 515,631,231

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


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