Q: What are the prime factors of the number 230,331,018?

 A: 2, 3, 829, 46307

Why are those the prime factors of the number 230,331,018?

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 230,331,018

230,331,018
Factor Arrows
2115,165,509
Factor Arrows
338,388,503
Factor Arrows
82946,307

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, 829, 46307

We can check our work by multiplying all of the prime factors together: 2 x 3 x 829 x 46,307 = 230,331,018

This can also be written as 21 x 31 x 8291 x 46,3071 = 230,331,018

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


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