Q: What are the prime factors of the number 32,399,810?

 A: 2, 5, 389, 8329

Why are those the prime factors of the number 32,399,810?

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 32,399,810

32,399,810
Factor Arrows
216,199,905
Factor Arrows
53,239,981
Factor Arrows
3898,329

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, 5, 389, 8329

We can check our work by multiplying all of the prime factors together: 2 x 5 x 389 x 8,329 = 32,399,810

This can also be written as 21 x 51 x 3891 x 8,3291 = 32,399,810

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


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