Q: What are the prime factors of the number 16,859,268?

 A: 2, 3, 43, 10891

Why are those the prime factors of the number 16,859,268?

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 16,859,268

16,859,268
Factor Arrows
28,429,634
Factor Arrows
24,214,817
Factor Arrows
31,404,939
Factor Arrows
3468,313
Factor Arrows
4310,891

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, 3, 43, 10891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 43 x 10,891 = 16,859,268

This can also be written as 22 x 32 x 431 x 10,8911 = 16,859,268

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


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