Q: What are the prime factors of the number 231,430,041?

 A: 3, 419, 2273

Why are those the prime factors of the number 231,430,041?

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 231,430,041

231,430,041
Factor Arrows
377,143,347
Factor Arrows
325,714,449
Factor Arrows
38,571,483
Factor Arrows
32,857,161
Factor Arrows
3952,387
Factor Arrows
4192,273

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, 419, 2273

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 419 x 2,273 = 231,430,041

This can also be written as 35 x 4191 x 2,2731 = 231,430,041

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


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