Q: What are the prime factors of the number 120,133,000?

 A: 2, 5, 13, 9241

Why are those the prime factors of the number 120,133,000?

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 120,133,000

120,133,000
Factor Arrows
260,066,500
Factor Arrows
230,033,250
Factor Arrows
215,016,625
Factor Arrows
53,003,325
Factor Arrows
5600,665
Factor Arrows
5120,133
Factor Arrows
139,241

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, 5, 13, 9241

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 13 x 9,241 = 120,133,000

This can also be written as 23 x 53 x 131 x 9,2411 = 120,133,000

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


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