Q: What are the prime factors of the number 15,430,744?

 A: 2, 7, 275549

Why are those the prime factors of the number 15,430,744?

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 15,430,744

15,430,744
Factor Arrows
27,715,372
Factor Arrows
23,857,686
Factor Arrows
21,928,843
Factor Arrows
7275,549

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:

2, 7, 275549

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 275,549 = 15,430,744

This can also be written as 23 x 71 x 275,5491 = 15,430,744

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


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