Q: What are the prime factors of the number 231,741,024?

 A: 2, 3, 19, 127051

Why are those the prime factors of the number 231,741,024?

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 231,741,024

231,741,024
Factor Arrows
2115,870,512
Factor Arrows
257,935,256
Factor Arrows
228,967,628
Factor Arrows
214,483,814
Factor Arrows
27,241,907
Factor Arrows
32,413,969
Factor Arrows
19127,051

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, 19, 127051

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 19 x 127,051 = 231,741,024

This can also be written as 25 x 31 x 191 x 127,0511 = 231,741,024

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


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