Q: What are the prime factors of the number 20,476,107?

 A: 3, 173, 13151

Why are those the prime factors of the number 20,476,107?

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 20,476,107

20,476,107
Factor Arrows
36,825,369
Factor Arrows
32,275,123
Factor Arrows
17313,151

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, 173, 13151

We can check our work by multiplying all of the prime factors together: 3 x 3 x 173 x 13,151 = 20,476,107

This can also be written as 32 x 1731 x 13,1511 = 20,476,107

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


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