Q: What are the prime factors of the number 15,485,391?

 A: 3, 29, 19777

Why are those the prime factors of the number 15,485,391?

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 15,485,391

15,485,391
Factor Arrows
35,161,797
Factor Arrows
31,720,599
Factor Arrows
3573,533
Factor Arrows
2919,777

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, 29, 19777

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 29 x 19,777 = 15,485,391

This can also be written as 33 x 291 x 19,7771 = 15,485,391

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


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