Q: What are the prime factors of the number 23,508,875?

 A: 5, 13, 17, 23, 37

Why are those the prime factors of the number 23,508,875?

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 23,508,875

23,508,875
Factor Arrows
54,701,775
Factor Arrows
5940,355
Factor Arrows
5188,071
Factor Arrows
1314,467
Factor Arrows
17851
Factor Arrows
2337

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, 13, 17, 23, 37

We can check our work by multiplying all of the prime factors together: 5 x 5 x 5 x 13 x 17 x 23 x 37 = 23,508,875

This can also be written as 53 x 131 x 171 x 231 x 371 = 23,508,875

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


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