Q: What are the prime factors of the number 12,515,168?

 A: 2, 41, 9539

Why are those the prime factors of the number 12,515,168?

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 12,515,168

12,515,168
Factor Arrows
26,257,584
Factor Arrows
23,128,792
Factor Arrows
21,564,396
Factor Arrows
2782,198
Factor Arrows
2391,099
Factor Arrows
419,539

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, 41, 9539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 41 x 9,539 = 12,515,168

This can also be written as 25 x 411 x 9,5391 = 12,515,168

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


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