Q: What are the prime factors of the number 28,868,048?

 A: 2, 11, 164023

Why are those the prime factors of the number 28,868,048?

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 28,868,048

28,868,048
Factor Arrows
214,434,024
Factor Arrows
27,217,012
Factor Arrows
23,608,506
Factor Arrows
21,804,253
Factor Arrows
11164,023

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, 11, 164023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 164,023 = 28,868,048

This can also be written as 24 x 111 x 164,0231 = 28,868,048

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


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