Q: What are the prime factors of the number 21,375,171?

 A: 3, 17, 19, 43

Why are those the prime factors of the number 21,375,171?

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 21,375,171

21,375,171
Factor Arrows
37,125,057
Factor Arrows
32,375,019
Factor Arrows
3791,673
Factor Arrows
3263,891
Factor Arrows
1715,523
Factor Arrows
19817
Factor Arrows
1943

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, 17, 19, 43

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 17 x 19 x 19 x 43 = 21,375,171

This can also be written as 34 x 171 x 192 x 431 = 21,375,171

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


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