Q: What are the prime factors of the number 16,669,185?

 A: 3, 5, 13, 73, 1171

Why are those the prime factors of the number 16,669,185?

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 16,669,185

16,669,185
Factor Arrows
35,556,395
Factor Arrows
51,111,279
Factor Arrows
1385,483
Factor Arrows
731,171

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, 5, 13, 73, 1171

We can check our work by multiplying all of the prime factors together: 3 x 5 x 13 x 73 x 1,171 = 16,669,185

This can also be written as 31 x 51 x 131 x 731 x 1,1711 = 16,669,185

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


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