Q: What are the prime factors of the number 11,039,877?

 A: 3, 47, 26099

Why are those the prime factors of the number 11,039,877?

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 11,039,877

11,039,877
Factor Arrows
33,679,959
Factor Arrows
31,226,653
Factor Arrows
4726,099

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, 47, 26099

We can check our work by multiplying all of the prime factors together: 3 x 3 x 47 x 26,099 = 11,039,877

This can also be written as 32 x 471 x 26,0991 = 11,039,877

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


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