Q: What are the prime factors of the number 12,853,372?

 A: 2, 7, 47, 9767

Why are those the prime factors of the number 12,853,372?

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 12,853,372

12,853,372
Factor Arrows
26,426,686
Factor Arrows
23,213,343
Factor Arrows
7459,049
Factor Arrows
479,767

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, 7, 47, 9767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 47 x 9,767 = 12,853,372

This can also be written as 22 x 71 x 471 x 9,7671 = 12,853,372

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


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