Q: What are the prime factors of the number 230,006,020?

 A: 2, 5, 19, 191, 3169

Why are those the prime factors of the number 230,006,020?

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 230,006,020

230,006,020
Factor Arrows
2115,003,010
Factor Arrows
257,501,505
Factor Arrows
511,500,301
Factor Arrows
19605,279
Factor Arrows
1913,169

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, 5, 19, 191, 3169

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 19 x 191 x 3,169 = 230,006,020

This can also be written as 22 x 51 x 191 x 1911 x 3,1691 = 230,006,020

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


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