Q: What are the prime factors of the number 206,502,996?

 A: 2, 3, 7, 2458369

Why are those the prime factors of the number 206,502,996?

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 206,502,996

206,502,996
Factor Arrows
2103,251,498
Factor Arrows
251,625,749
Factor Arrows
317,208,583
Factor Arrows
72,458,369

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, 7, 2458369

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 2,458,369 = 206,502,996

This can also be written as 22 x 31 x 71 x 2,458,3691 = 206,502,996

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


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