Q: What are the prime factors of the number 104,031,837?

 A: 3, 7, 13, 3257

Why are those the prime factors of the number 104,031,837?

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 104,031,837

104,031,837
Factor Arrows
334,677,279
Factor Arrows
311,559,093
Factor Arrows
33,853,031
Factor Arrows
7550,433
Factor Arrows
1342,341
Factor Arrows
133,257

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, 13, 3257

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 13 x 13 x 3,257 = 104,031,837

This can also be written as 33 x 71 x 132 x 3,2571 = 104,031,837

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


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