Q: What are the prime factors of the number 104,252,027?

 A: 11, 131, 6577

Why are those the prime factors of the number 104,252,027?

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 104,252,027

104,252,027
Factor Arrows
119,477,457
Factor Arrows
11861,587
Factor Arrows
1316,577

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:

11, 131, 6577

We can check our work by multiplying all of the prime factors together: 11 x 11 x 131 x 6,577 = 104,252,027

This can also be written as 112 x 1311 x 6,5771 = 104,252,027

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


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