Q: What are the prime factors of the number 12,527,584?

 A: 2, 391487

Why are those the prime factors of the number 12,527,584?

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 12,527,584

12,527,584
Factor Arrows
26,263,792
Factor Arrows
23,131,896
Factor Arrows
21,565,948
Factor Arrows
2782,974
Factor Arrows
2391,487

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, 391487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 391,487 = 12,527,584

This can also be written as 25 x 391,4871 = 12,527,584

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


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