Q: What are the prime factors of the number 120,013,455?

 A: 3, 5, 17, 29, 16229

Why are those the prime factors of the number 120,013,455?

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 120,013,455

120,013,455
Factor Arrows
340,004,485
Factor Arrows
58,000,897
Factor Arrows
17470,641
Factor Arrows
2916,229

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, 5, 17, 29, 16229

We can check our work by multiplying all of the prime factors together: 3 x 5 x 17 x 29 x 16,229 = 120,013,455

This can also be written as 31 x 51 x 171 x 291 x 16,2291 = 120,013,455

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


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