Q: What are the prime factors of the number 10,135,377?

 A: 3, 7, 160879

Why are those the prime factors of the number 10,135,377?

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 10,135,377

10,135,377
Factor Arrows
33,378,459
Factor Arrows
31,126,153
Factor Arrows
7160,879

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, 7, 160879

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 160,879 = 10,135,377

This can also be written as 32 x 71 x 160,8791 = 10,135,377

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


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