Q: What are the prime factors of the number 28,576,816?

 A: 2, 241, 7411

Why are those the prime factors of the number 28,576,816?

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 28,576,816

28,576,816
Factor Arrows
214,288,408
Factor Arrows
27,144,204
Factor Arrows
23,572,102
Factor Arrows
21,786,051
Factor Arrows
2417,411

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, 241, 7411

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 241 x 7,411 = 28,576,816

This can also be written as 24 x 2411 x 7,4111 = 28,576,816

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


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