Q: What are the prime factors of the number 17,876,061?

 A: 3, 7, 17, 16691

Why are those the prime factors of the number 17,876,061?

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 17,876,061

17,876,061
Factor Arrows
35,958,687
Factor Arrows
31,986,229
Factor Arrows
7283,747
Factor Arrows
1716,691

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, 7, 17, 16691

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 17 x 16,691 = 17,876,061

This can also be written as 32 x 71 x 171 x 16,6911 = 17,876,061

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


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