Q: What are the prime factors of the number 34,811,673?

 A: 3, 13, 23, 197

Why are those the prime factors of the number 34,811,673?

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 34,811,673

34,811,673
Factor Arrows
311,603,891
Factor Arrows
13892,607
Factor Arrows
2338,809
Factor Arrows
197197

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, 23, 197

We can check our work by multiplying all of the prime factors together: 3 x 13 x 23 x 197 x 197 = 34,811,673

This can also be written as 31 x 131 x 231 x 1972 = 34,811,673

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


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