Q: What are the prime factors of the number 23,040,396?

 A: 2, 3, 213337

Why are those the prime factors of the number 23,040,396?

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 23,040,396

23,040,396
Factor Arrows
211,520,198
Factor Arrows
25,760,099
Factor Arrows
31,920,033
Factor Arrows
3640,011
Factor Arrows
3213,337

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, 213337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 213,337 = 23,040,396

This can also be written as 22 x 33 x 213,3371 = 23,040,396

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


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