Q: What are the prime factors of the number 231,012,405?

 A: 3, 5, 13, 17, 29, 89

Why are those the prime factors of the number 231,012,405?

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 231,012,405

231,012,405
Factor Arrows
377,004,135
Factor Arrows
325,668,045
Factor Arrows
38,556,015
Factor Arrows
32,852,005
Factor Arrows
5570,401
Factor Arrows
1343,877
Factor Arrows
172,581
Factor Arrows
2989

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:

3, 5, 13, 17, 29, 89

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 13 x 17 x 29 x 89 = 231,012,405

This can also be written as 34 x 51 x 131 x 171 x 291 x 891 = 231,012,405

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


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