Q: What are the prime factors of the number 313,011,016?

 A: 2, 19, 2059283

Why are those the prime factors of the number 313,011,016?

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 313,011,016

313,011,016
Factor Arrows
2156,505,508
Factor Arrows
278,252,754
Factor Arrows
239,126,377
Factor Arrows
192,059,283

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, 19, 2059283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 2,059,283 = 313,011,016

This can also be written as 23 x 191 x 2,059,2831 = 313,011,016

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


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