Q: What are the prime factors of the number 111,004,020?

 A: 2, 3, 5, 68521

Why are those the prime factors of the number 111,004,020?

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 111,004,020

111,004,020
Factor Arrows
255,502,010
Factor Arrows
227,751,005
Factor Arrows
39,250,335
Factor Arrows
33,083,445
Factor Arrows
31,027,815
Factor Arrows
3342,605
Factor Arrows
568,521

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, 68521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 5 x 68,521 = 111,004,020

This can also be written as 22 x 34 x 51 x 68,5211 = 111,004,020

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


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