Q: What are the prime factors of the number 23,240,439?

 A: 3, 19, 15101

Why are those the prime factors of the number 23,240,439?

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 23,240,439

23,240,439
Factor Arrows
37,746,813
Factor Arrows
32,582,271
Factor Arrows
3860,757
Factor Arrows
3286,919
Factor Arrows
1915,101

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, 19, 15101

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 19 x 15,101 = 23,240,439

This can also be written as 34 x 191 x 15,1011 = 23,240,439

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


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