Q: What are the prime factors of the number 206,560,338?

 A: 2, 3, 3361, 10243

Why are those the prime factors of the number 206,560,338?

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 206,560,338

206,560,338
Factor Arrows
2103,280,169
Factor Arrows
334,426,723
Factor Arrows
3,36110,243

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, 3361, 10243

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3,361 x 10,243 = 206,560,338

This can also be written as 21 x 31 x 3,3611 x 10,2431 = 206,560,338

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


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