Q: What are the prime factors of the number 310,855,319?

 A: 17, 233, 78479

Why are those the prime factors of the number 310,855,319?

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 310,855,319

310,855,319
Factor Arrows
1718,285,607
Factor Arrows
23378,479

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:

17, 233, 78479

We can check our work by multiplying all of the prime factors together: 17 x 233 x 78,479 = 310,855,319

This can also be written as 171 x 2331 x 78,4791 = 310,855,319

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


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