Q: What are the prime factors of the number 120,123,104?

 A: 2, 29, 129443

Why are those the prime factors of the number 120,123,104?

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 120,123,104

120,123,104
Factor Arrows
260,061,552
Factor Arrows
230,030,776
Factor Arrows
215,015,388
Factor Arrows
27,507,694
Factor Arrows
23,753,847
Factor Arrows
29129,443

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, 29, 129443

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 129,443 = 120,123,104

This can also be written as 25 x 291 x 129,4431 = 120,123,104

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


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