Q: What are the prime factors of the number 28,840,848?

 A: 2, 3, 29, 20719

Why are those the prime factors of the number 28,840,848?

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 28,840,848

28,840,848
Factor Arrows
214,420,424
Factor Arrows
27,210,212
Factor Arrows
23,605,106
Factor Arrows
21,802,553
Factor Arrows
3600,851
Factor Arrows
2920,719

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, 29, 20719

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 29 x 20,719 = 28,840,848

This can also be written as 24 x 31 x 291 x 20,7191 = 28,840,848

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


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