Q: What are the prime factors of the number 431,136?

 A: 2, 3, 499

Why are those the prime factors of the number 431,136?

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 431,136

431,136
Factor Arrows
2215,568
Factor Arrows
2107,784
Factor Arrows
253,892
Factor Arrows
226,946
Factor Arrows
213,473
Factor Arrows
34,491
Factor Arrows
31,497
Factor Arrows
3499

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, 499

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 499 = 431,136

This can also be written as 25 x 33 x 4991 = 431,136

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


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