Q: What are the prime factors of the number 20,805,327?

 A: 3, 41, 56383

Why are those the prime factors of the number 20,805,327?

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 20,805,327

20,805,327
Factor Arrows
36,935,109
Factor Arrows
32,311,703
Factor Arrows
4156,383

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:

3, 41, 56383

We can check our work by multiplying all of the prime factors together: 3 x 3 x 41 x 56,383 = 20,805,327

This can also be written as 32 x 411 x 56,3831 = 20,805,327

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


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