Q: What are the prime factors of the number 12,746,082?

 A: 2, 3, 397, 5351

Why are those the prime factors of the number 12,746,082?

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 12,746,082

12,746,082
Factor Arrows
26,373,041
Factor Arrows
32,124,347
Factor Arrows
3975,351

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, 397, 5351

We can check our work by multiplying all of the prime factors together: 2 x 3 x 397 x 5,351 = 12,746,082

This can also be written as 21 x 31 x 3971 x 5,3511 = 12,746,082

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


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