Q: What are the prime factors of the number 206,600,218?

 A: 2, 11, 17, 163, 3389

Why are those the prime factors of the number 206,600,218?

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 206,600,218

206,600,218
Factor Arrows
2103,300,109
Factor Arrows
119,390,919
Factor Arrows
17552,407
Factor Arrows
1633,389

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, 11, 17, 163, 3389

We can check our work by multiplying all of the prime factors together: 2 x 11 x 17 x 163 x 3,389 = 206,600,218

This can also be written as 21 x 111 x 171 x 1631 x 3,3891 = 206,600,218

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


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