Q: What are the prime factors of the number 16,856,550?

 A: 2, 3, 5, 47, 797

Why are those the prime factors of the number 16,856,550?

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 16,856,550

16,856,550
Factor Arrows
28,428,275
Factor Arrows
32,809,425
Factor Arrows
3936,475
Factor Arrows
5187,295
Factor Arrows
537,459
Factor Arrows
47797

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, 5, 47, 797

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 47 x 797 = 16,856,550

This can also be written as 21 x 32 x 52 x 471 x 7971 = 16,856,550

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


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