Q: What are the prime factors of the number 15,988,104?

 A: 2, 3, 11, 2243

Why are those the prime factors of the number 15,988,104?

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 15,988,104

15,988,104
Factor Arrows
27,994,052
Factor Arrows
23,997,026
Factor Arrows
21,998,513
Factor Arrows
3666,171
Factor Arrows
3222,057
Factor Arrows
374,019
Factor Arrows
324,673
Factor Arrows
112,243

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, 11, 2243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 2,243 = 15,988,104

This can also be written as 23 x 34 x 111 x 2,2431 = 15,988,104

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


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