Q: What are the prime factors of the number 30,703,936?

 A: 2, 479749

Why are those the prime factors of the number 30,703,936?

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 30,703,936

30,703,936
Factor Arrows
215,351,968
Factor Arrows
27,675,984
Factor Arrows
23,837,992
Factor Arrows
21,918,996
Factor Arrows
2959,498
Factor Arrows
2479,749

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, 479749

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 479,749 = 30,703,936

This can also be written as 26 x 479,7491 = 30,703,936

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


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