Q: What are the prime factors of the number 13,160,128?

 A: 2, 205627

Why are those the prime factors of the number 13,160,128?

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 13,160,128

13,160,128
Factor Arrows
26,580,064
Factor Arrows
23,290,032
Factor Arrows
21,645,016
Factor Arrows
2822,508
Factor Arrows
2411,254
Factor Arrows
2205,627

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, 205627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 205,627 = 13,160,128

This can also be written as 26 x 205,6271 = 13,160,128

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


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