Q: What are the prime factors of the number 231,010,434?

 A: 2, 3, 4277971

Why are those the prime factors of the number 231,010,434?

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 231,010,434

231,010,434
Factor Arrows
2115,505,217
Factor Arrows
338,501,739
Factor Arrows
312,833,913
Factor Arrows
34,277,971

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, 4277971

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 4,277,971 = 231,010,434

This can also be written as 21 x 33 x 4,277,9711 = 231,010,434

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


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