Q: What are the prime factors of the number 122,517,120?

 A: 2, 3, 5, 11, 5801

Why are those the prime factors of the number 122,517,120?

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 122,517,120

122,517,120
Factor Arrows
261,258,560
Factor Arrows
230,629,280
Factor Arrows
215,314,640
Factor Arrows
27,657,320
Factor Arrows
23,828,660
Factor Arrows
21,914,330
Factor Arrows
2957,165
Factor Arrows
3319,055
Factor Arrows
563,811
Factor Arrows
115,801

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, 5, 11, 5801

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 5,801 = 122,517,120

This can also be written as 27 x 31 x 51 x 111 x 5,8011 = 122,517,120

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


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