Q: What are the prime factors of the number 23,053,707?

 A: 3, 19, 44939

Why are those the prime factors of the number 23,053,707?

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 23,053,707

23,053,707
Factor Arrows
37,684,569
Factor Arrows
32,561,523
Factor Arrows
3853,841
Factor Arrows
1944,939

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, 44939

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 19 x 44,939 = 23,053,707

This can also be written as 33 x 191 x 44,9391 = 23,053,707

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


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