Q: What are the prime factors of the number 29,991,888?

 A: 2, 3, 208277

Why are those the prime factors of the number 29,991,888?

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 29,991,888

29,991,888
Factor Arrows
214,995,944
Factor Arrows
27,497,972
Factor Arrows
23,748,986
Factor Arrows
21,874,493
Factor Arrows
3624,831
Factor Arrows
3208,277

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, 208277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 208,277 = 29,991,888

This can also be written as 24 x 32 x 208,2771 = 29,991,888

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


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