Q: What are the prime factors of the number 8,541,909?

 A: 3, 257, 1231

Why are those the prime factors of the number 8,541,909?

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 8,541,909

8,541,909
Factor Arrows
32,847,303
Factor Arrows
3949,101
Factor Arrows
3316,367
Factor Arrows
2571,231

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, 257, 1231

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 257 x 1,231 = 8,541,909

This can also be written as 33 x 2571 x 1,2311 = 8,541,909

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


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