Q: What are the prime factors of the number 188,172,072?

 A: 2, 3, 11, 26399

Why are those the prime factors of the number 188,172,072?

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 188,172,072

188,172,072
Factor Arrows
294,086,036
Factor Arrows
247,043,018
Factor Arrows
223,521,509
Factor Arrows
37,840,503
Factor Arrows
32,613,501
Factor Arrows
3871,167
Factor Arrows
3290,389
Factor Arrows
1126,399

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, 26399

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 26,399 = 188,172,072

This can also be written as 23 x 34 x 111 x 26,3991 = 188,172,072

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


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