Q: What are the prime factors of the number 23,315,139?

 A: 3, 251, 10321

Why are those the prime factors of the number 23,315,139?

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 23,315,139

23,315,139
Factor Arrows
37,771,713
Factor Arrows
32,590,571
Factor Arrows
25110,321

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, 251, 10321

We can check our work by multiplying all of the prime factors together: 3 x 3 x 251 x 10,321 = 23,315,139

This can also be written as 32 x 2511 x 10,3211 = 23,315,139

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


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