Q: What are the prime factors of the number 12,674,704?

 A: 2, 7, 113167

Why are those the prime factors of the number 12,674,704?

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 12,674,704

12,674,704
Factor Arrows
26,337,352
Factor Arrows
23,168,676
Factor Arrows
21,584,338
Factor Arrows
2792,169
Factor Arrows
7113,167

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, 113167

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 113,167 = 12,674,704

This can also be written as 24 x 71 x 113,1671 = 12,674,704

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


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