Q: What are the prime factors of the number 120,203,109?

 A: 3, 13, 2927

Why are those the prime factors of the number 120,203,109?

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 120,203,109

120,203,109
Factor Arrows
340,067,703
Factor Arrows
313,355,901
Factor Arrows
34,451,967
Factor Arrows
31,483,989
Factor Arrows
3494,663
Factor Arrows
1338,051
Factor Arrows
132,927

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, 13, 2927

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 13 x 13 x 2,927 = 120,203,109

This can also be written as 35 x 132 x 2,9271 = 120,203,109

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


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