Q: What are the prime factors of the number 10,016,877?

 A: 3, 13, 101, 2543

Why are those the prime factors of the number 10,016,877?

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 10,016,877

10,016,877
Factor Arrows
33,338,959
Factor Arrows
13256,843
Factor Arrows
1012,543

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, 13, 101, 2543

We can check our work by multiplying all of the prime factors together: 3 x 13 x 101 x 2,543 = 10,016,877

This can also be written as 31 x 131 x 1011 x 2,5431 = 10,016,877

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


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