Q: What are the prime factors of the number 231,213,021?

 A: 3, 13, 43, 137873

Why are those the prime factors of the number 231,213,021?

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 231,213,021

231,213,021
Factor Arrows
377,071,007
Factor Arrows
135,928,539
Factor Arrows
43137,873

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, 13, 43, 137873

We can check our work by multiplying all of the prime factors together: 3 x 13 x 43 x 137,873 = 231,213,021

This can also be written as 31 x 131 x 431 x 137,8731 = 231,213,021

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


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