Q: What are the prime factors of the number 200,080,827?

 A: 3, 67, 110603

Why are those the prime factors of the number 200,080,827?

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 200,080,827

200,080,827
Factor Arrows
366,693,609
Factor Arrows
322,231,203
Factor Arrows
37,410,401
Factor Arrows
67110,603

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, 67, 110603

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 67 x 110,603 = 200,080,827

This can also be written as 33 x 671 x 110,6031 = 200,080,827

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


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