Q: What are the prime factors of the number 104,014,017?

 A: 3, 409, 9419

Why are those the prime factors of the number 104,014,017?

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 104,014,017

104,014,017
Factor Arrows
334,671,339
Factor Arrows
311,557,113
Factor Arrows
33,852,371
Factor Arrows
4099,419

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, 409, 9419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 409 x 9,419 = 104,014,017

This can also be written as 33 x 4091 x 9,4191 = 104,014,017

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


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