Q: What are the prime factors of the number 104,864?

 A: 2, 29, 113

Why are those the prime factors of the number 104,864?

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 104,864

104,864
Factor Arrows
252,432
Factor Arrows
226,216
Factor Arrows
213,108
Factor Arrows
26,554
Factor Arrows
23,277
Factor Arrows
29113

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:

2, 29, 113

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 113 = 104,864

This can also be written as 25 x 291 x 1131 = 104,864

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


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