Q: What are the prime factors of the number 12,892,540?

 A: 2, 5, 89, 7243

Why are those the prime factors of the number 12,892,540?

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 12,892,540

12,892,540
Factor Arrows
26,446,270
Factor Arrows
23,223,135
Factor Arrows
5644,627
Factor Arrows
897,243

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, 5, 89, 7243

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 89 x 7,243 = 12,892,540

This can also be written as 22 x 51 x 891 x 7,2431 = 12,892,540

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


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