Q: What are the prime factors of the number 16,871,006?

 A: 2, 23, 31, 11831

Why are those the prime factors of the number 16,871,006?

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 16,871,006

16,871,006
Factor Arrows
28,435,503
Factor Arrows
23366,761
Factor Arrows
3111,831

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:

2, 23, 31, 11831

We can check our work by multiplying all of the prime factors together: 2 x 23 x 31 x 11,831 = 16,871,006

This can also be written as 21 x 231 x 311 x 11,8311 = 16,871,006

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


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