Q: What are the prime factors of the number 23,948,639?

 A: 11, 13, 223, 751

Why are those the prime factors of the number 23,948,639?

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 23,948,639

23,948,639
Factor Arrows
112,177,149
Factor Arrows
13167,473
Factor Arrows
223751

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:

11, 13, 223, 751

We can check our work by multiplying all of the prime factors together: 11 x 13 x 223 x 751 = 23,948,639

This can also be written as 111 x 131 x 2231 x 7511 = 23,948,639

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


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