Q: What are the prime factors of the number 16,559,856?

 A: 2, 3, 38333

Why are those the prime factors of the number 16,559,856?

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 16,559,856

16,559,856
Factor Arrows
28,279,928
Factor Arrows
24,139,964
Factor Arrows
22,069,982
Factor Arrows
21,034,991
Factor Arrows
3344,997
Factor Arrows
3114,999
Factor Arrows
338,333

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, 38333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 38,333 = 16,559,856

This can also be written as 24 x 33 x 38,3331 = 16,559,856

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


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