Q: What are the prime factors of the number 10,203,813?

 A: 3, 13997

Why are those the prime factors of the number 10,203,813?

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 10,203,813

10,203,813
Factor Arrows
33,401,271
Factor Arrows
31,133,757
Factor Arrows
3377,919
Factor Arrows
3125,973
Factor Arrows
341,991
Factor Arrows
313,997

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, 13997

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 13,997 = 10,203,813

This can also be written as 36 x 13,9971 = 10,203,813

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


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