Q: What are the prime factors of the number 27,050,048?

 A: 2, 422657

Why are those the prime factors of the number 27,050,048?

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 27,050,048

27,050,048
Factor Arrows
213,525,024
Factor Arrows
26,762,512
Factor Arrows
23,381,256
Factor Arrows
21,690,628
Factor Arrows
2845,314
Factor Arrows
2422,657

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, 422657

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 422,657 = 27,050,048

This can also be written as 26 x 422,6571 = 27,050,048

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


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