Q: What are the prime factors of the number 206,646,067?

 A: 17, 79, 151, 1019

Why are those the prime factors of the number 206,646,067?

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 206,646,067

206,646,067
Factor Arrows
1712,155,651
Factor Arrows
79153,869
Factor Arrows
1511,019

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:

17, 79, 151, 1019

We can check our work by multiplying all of the prime factors together: 17 x 79 x 151 x 1,019 = 206,646,067

This can also be written as 171 x 791 x 1511 x 1,0191 = 206,646,067

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


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