Q: What are the prime factors of the number 231,020,424?

 A: 2, 3, 43, 8291

Why are those the prime factors of the number 231,020,424?

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 231,020,424

231,020,424
Factor Arrows
2115,510,212
Factor Arrows
257,755,106
Factor Arrows
228,877,553
Factor Arrows
39,625,851
Factor Arrows
33,208,617
Factor Arrows
31,069,539
Factor Arrows
3356,513
Factor Arrows
438,291

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, 43, 8291

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 43 x 8,291 = 231,020,424

This can also be written as 23 x 34 x 431 x 8,2911 = 231,020,424

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


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