Q: What are the prime factors of the number 104,087,709?

 A: 3, 11, 95581

Why are those the prime factors of the number 104,087,709?

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 104,087,709

104,087,709
Factor Arrows
334,695,903
Factor Arrows
311,565,301
Factor Arrows
111,051,391
Factor Arrows
1195,581

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, 11, 95581

We can check our work by multiplying all of the prime factors together: 3 x 3 x 11 x 11 x 95,581 = 104,087,709

This can also be written as 32 x 112 x 95,5811 = 104,087,709

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


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