Q: What are the prime factors of the number 104,060,512?

 A: 2, 3251891

Why are those the prime factors of the number 104,060,512?

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 104,060,512

104,060,512
Factor Arrows
252,030,256
Factor Arrows
226,015,128
Factor Arrows
213,007,564
Factor Arrows
26,503,782
Factor Arrows
23,251,891

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, 3251891

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3,251,891 = 104,060,512

This can also be written as 25 x 3,251,8911 = 104,060,512

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


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