Q: What are the prime factors of the number 206,203,020?

 A: 2, 3, 5, 3436717

Why are those the prime factors of the number 206,203,020?

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 206,203,020

206,203,020
Factor Arrows
2103,101,510
Factor Arrows
251,550,755
Factor Arrows
317,183,585
Factor Arrows
53,436,717

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, 5, 3436717

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 3,436,717 = 206,203,020

This can also be written as 22 x 31 x 51 x 3,436,7171 = 206,203,020

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


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