Q: What are the prime factors of the number 15,265,864?

 A: 2, 17, 112249

Why are those the prime factors of the number 15,265,864?

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 15,265,864

15,265,864
Factor Arrows
27,632,932
Factor Arrows
23,816,466
Factor Arrows
21,908,233
Factor Arrows
17112,249

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, 17, 112249

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 112,249 = 15,265,864

This can also be written as 23 x 171 x 112,2491 = 15,265,864

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


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