Q: What are the prime factors of the number 7,119,171?

 A: 3, 29297

Why are those the prime factors of the number 7,119,171?

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 7,119,171

7,119,171
Factor Arrows
32,373,057
Factor Arrows
3791,019
Factor Arrows
3263,673
Factor Arrows
387,891
Factor Arrows
329,297

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, 29297

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 29,297 = 7,119,171

This can also be written as 35 x 29,2971 = 7,119,171

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


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