Q: What are the prime factors of the number 431,660,016?

 A: 2, 3, 333071

Why are those the prime factors of the number 431,660,016?

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 431,660,016

431,660,016
Factor Arrows
2215,830,008
Factor Arrows
2107,915,004
Factor Arrows
253,957,502
Factor Arrows
226,978,751
Factor Arrows
38,992,917
Factor Arrows
32,997,639
Factor Arrows
3999,213
Factor Arrows
3333,071

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, 333071

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 333,071 = 431,660,016

This can also be written as 24 x 34 x 333,0711 = 431,660,016

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


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