Q: What are the prime factors of the number 34,016,463?

 A: 3, 13, 199, 487

Why are those the prime factors of the number 34,016,463?

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 34,016,463

34,016,463
Factor Arrows
311,338,821
Factor Arrows
33,779,607
Factor Arrows
31,259,869
Factor Arrows
1396,913
Factor Arrows
199487

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, 199, 487

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 13 x 199 x 487 = 34,016,463

This can also be written as 33 x 131 x 1991 x 4871 = 34,016,463

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


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