Q: What are the prime factors of the number 24,490,809?

 A: 3, 7, 129581

Why are those the prime factors of the number 24,490,809?

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 24,490,809

24,490,809
Factor Arrows
38,163,603
Factor Arrows
32,721,201
Factor Arrows
3907,067
Factor Arrows
7129,581

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, 7, 129581

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 129,581 = 24,490,809

This can also be written as 33 x 71 x 129,5811 = 24,490,809

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


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