Q: What are the prime factors of the number 15,244,359?

 A: 3, 13, 17, 22993

Why are those the prime factors of the number 15,244,359?

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 15,244,359

15,244,359
Factor Arrows
35,081,453
Factor Arrows
13390,881
Factor Arrows
1722,993

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, 13, 17, 22993

We can check our work by multiplying all of the prime factors together: 3 x 13 x 17 x 22,993 = 15,244,359

This can also be written as 31 x 131 x 171 x 22,9931 = 15,244,359

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


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