Q: What are the prime factors of the number 24,446,580?

 A: 2, 3, 5, 47, 8669

Why are those the prime factors of the number 24,446,580?

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 24,446,580

24,446,580
Factor Arrows
212,223,290
Factor Arrows
26,111,645
Factor Arrows
32,037,215
Factor Arrows
5407,443
Factor Arrows
478,669

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, 5, 47, 8669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 47 x 8,669 = 24,446,580

This can also be written as 22 x 31 x 51 x 471 x 8,6691 = 24,446,580

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


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