Q: What are the prime factors of the number 23,063,315?

 A: 5, 11, 107, 3919

Why are those the prime factors of the number 23,063,315?

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 23,063,315

23,063,315
Factor Arrows
54,612,663
Factor Arrows
11419,333
Factor Arrows
1073,919

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:

5, 11, 107, 3919

We can check our work by multiplying all of the prime factors together: 5 x 11 x 107 x 3,919 = 23,063,315

This can also be written as 51 x 111 x 1071 x 3,9191 = 23,063,315

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


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