Q: What are the prime factors of the number 206,155,244?

 A: 2, 19, 43, 199, 317

Why are those the prime factors of the number 206,155,244?

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 206,155,244

206,155,244
Factor Arrows
2103,077,622
Factor Arrows
251,538,811
Factor Arrows
192,712,569
Factor Arrows
4363,083
Factor Arrows
199317

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, 19, 43, 199, 317

We can check our work by multiplying all of the prime factors together: 2 x 2 x 19 x 43 x 199 x 317 = 206,155,244

This can also be written as 22 x 191 x 431 x 1991 x 3171 = 206,155,244

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


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