Q: What are the prime factors of the number 210,606,608?

 A: 2, 17, 774289

Why are those the prime factors of the number 210,606,608?

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 210,606,608

210,606,608
Factor Arrows
2105,303,304
Factor Arrows
252,651,652
Factor Arrows
226,325,826
Factor Arrows
213,162,913
Factor Arrows
17774,289

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, 17, 774289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 774,289 = 210,606,608

This can also be written as 24 x 171 x 774,2891 = 210,606,608

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


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