Q: What are the prime factors of the number 20,888,091?

 A: 3, 7, 29, 37, 103

Why are those the prime factors of the number 20,888,091?

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 20,888,091

20,888,091
Factor Arrows
36,962,697
Factor Arrows
32,320,899
Factor Arrows
3773,633
Factor Arrows
7110,519
Factor Arrows
293,811
Factor Arrows
37103

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, 7, 29, 37, 103

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 29 x 37 x 103 = 20,888,091

This can also be written as 33 x 71 x 291 x 371 x 1031 = 20,888,091

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


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