Q: What are the prime factors of the number 20,122,203?

 A: 3, 17, 23209

Why are those the prime factors of the number 20,122,203?

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 20,122,203

20,122,203
Factor Arrows
36,707,401
Factor Arrows
17394,553
Factor Arrows
1723,209

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, 17, 23209

We can check our work by multiplying all of the prime factors together: 3 x 17 x 17 x 23,209 = 20,122,203

This can also be written as 31 x 172 x 23,2091 = 20,122,203

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


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