Q: What are the prime factors of the number 231,030,016?

 A: 2, 7, 128923

Why are those the prime factors of the number 231,030,016?

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 231,030,016

231,030,016
Factor Arrows
2115,515,008
Factor Arrows
257,757,504
Factor Arrows
228,878,752
Factor Arrows
214,439,376
Factor Arrows
27,219,688
Factor Arrows
23,609,844
Factor Arrows
21,804,922
Factor Arrows
2902,461
Factor Arrows
7128,923

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, 7, 128923

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 128,923 = 231,030,016

This can also be written as 28 x 71 x 128,9231 = 231,030,016

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


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