Q: What are the prime factors of the number 25,002,576?

 A: 2, 3, 173629

Why are those the prime factors of the number 25,002,576?

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 25,002,576

25,002,576
Factor Arrows
212,501,288
Factor Arrows
26,250,644
Factor Arrows
23,125,322
Factor Arrows
21,562,661
Factor Arrows
3520,887
Factor Arrows
3173,629

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, 173629

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 173,629 = 25,002,576

This can also be written as 24 x 32 x 173,6291 = 25,002,576

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


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