Q: What are the prime factors of the number 24,515,541?

 A: 3, 33629

Why are those the prime factors of the number 24,515,541?

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 24,515,541

24,515,541
Factor Arrows
38,171,847
Factor Arrows
32,723,949
Factor Arrows
3907,983
Factor Arrows
3302,661
Factor Arrows
3100,887
Factor Arrows
333,629

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:

3, 33629

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 33,629 = 24,515,541

This can also be written as 36 x 33,6291 = 24,515,541

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


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