Q: What are the prime factors of the number 12,527,880?

 A: 2, 3, 5, 104399

Why are those the prime factors of the number 12,527,880?

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 12,527,880

12,527,880
Factor Arrows
26,263,940
Factor Arrows
23,131,970
Factor Arrows
21,565,985
Factor Arrows
3521,995
Factor Arrows
5104,399

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, 3, 5, 104399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 104,399 = 12,527,880

This can also be written as 23 x 31 x 51 x 104,3991 = 12,527,880

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


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