Q: What are the prime factors of the number 12,552,928?

 A: 2, 392279

Why are those the prime factors of the number 12,552,928?

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 12,552,928

12,552,928
Factor Arrows
26,276,464
Factor Arrows
23,138,232
Factor Arrows
21,569,116
Factor Arrows
2784,558
Factor Arrows
2392,279

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, 392279

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 392,279 = 12,552,928

This can also be written as 25 x 392,2791 = 12,552,928

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


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