Q: What are the prime factors of the number 235,230,020?

 A: 2, 5, 17, 29, 23857

Why are those the prime factors of the number 235,230,020?

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 235,230,020

235,230,020
Factor Arrows
2117,615,010
Factor Arrows
258,807,505
Factor Arrows
511,761,501
Factor Arrows
17691,853
Factor Arrows
2923,857

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, 17, 29, 23857

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 29 x 23,857 = 235,230,020

This can also be written as 22 x 51 x 171 x 291 x 23,8571 = 235,230,020

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


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