Q: What are the prime factors of the number 120,110,124?

 A: 2, 3, 10009177

Why are those the prime factors of the number 120,110,124?

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 120,110,124

120,110,124
Factor Arrows
260,055,062
Factor Arrows
230,027,531
Factor Arrows
310,009,177

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, 3, 10009177

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 10,009,177 = 120,110,124

This can also be written as 22 x 31 x 10,009,1771 = 120,110,124

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


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