Q: What are the prime factors of the number 10,102,401?

 A: 3, 124721

Why are those the prime factors of the number 10,102,401?

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 10,102,401

10,102,401
Factor Arrows
33,367,467
Factor Arrows
31,122,489
Factor Arrows
3374,163
Factor Arrows
3124,721

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, 124721

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 124,721 = 10,102,401

This can also be written as 34 x 124,7211 = 10,102,401

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


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