Q: What are the prime factors of the number 23,040,531?

 A: 3, 53, 1789

Why are those the prime factors of the number 23,040,531?

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 23,040,531

23,040,531
Factor Arrows
37,680,177
Factor Arrows
32,560,059
Factor Arrows
3853,353
Factor Arrows
3284,451
Factor Arrows
394,817
Factor Arrows
531,789

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, 53, 1789

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 53 x 1,789 = 23,040,531

This can also be written as 35 x 531 x 1,7891 = 23,040,531

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


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