Q: What are the prime factors of the number 17,671,851?

 A: 3, 218171

Why are those the prime factors of the number 17,671,851?

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 17,671,851

17,671,851
Factor Arrows
35,890,617
Factor Arrows
31,963,539
Factor Arrows
3654,513
Factor Arrows
3218,171

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, 218171

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 218,171 = 17,671,851

This can also be written as 34 x 218,1711 = 17,671,851

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


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