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

 A: 2, 3, 5, 428563

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

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 231,424,020

231,424,020
Factor Arrows
2115,712,010
Factor Arrows
257,856,005
Factor Arrows
319,285,335
Factor Arrows
36,428,445
Factor Arrows
32,142,815
Factor Arrows
5428,563

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, 5, 428563

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 5 x 428,563 = 231,424,020

This can also be written as 22 x 33 x 51 x 428,5631 = 231,424,020

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


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