Q: What are the prime factors of the number 120,130,011?

 A: 3, 991, 13469

Why are those the prime factors of the number 120,130,011?

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 120,130,011

120,130,011
Factor Arrows
340,043,337
Factor Arrows
313,347,779
Factor Arrows
99113,469

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, 991, 13469

We can check our work by multiplying all of the prime factors together: 3 x 3 x 991 x 13,469 = 120,130,011

This can also be written as 32 x 9911 x 13,4691 = 120,130,011

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


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