Q: What are the prime factors of the number 15,934,448?

 A: 2, 995903

Why are those the prime factors of the number 15,934,448?

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 15,934,448

15,934,448
Factor Arrows
27,967,224
Factor Arrows
23,983,612
Factor Arrows
21,991,806
Factor Arrows
2995,903

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, 995903

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 995,903 = 15,934,448

This can also be written as 24 x 995,9031 = 15,934,448

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


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