Q: What are the prime factors of the number 29,109,204?

 A: 2, 3, 808589

Why are those the prime factors of the number 29,109,204?

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 29,109,204

29,109,204
Factor Arrows
214,554,602
Factor Arrows
27,277,301
Factor Arrows
32,425,767
Factor Arrows
3808,589

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, 808589

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 808,589 = 29,109,204

This can also be written as 22 x 32 x 808,5891 = 29,109,204

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


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