Q: What are the prime factors of the number 12,813,636?

 A: 2, 3, 11, 97073

Why are those the prime factors of the number 12,813,636?

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 12,813,636

12,813,636
Factor Arrows
26,406,818
Factor Arrows
23,203,409
Factor Arrows
31,067,803
Factor Arrows
1197,073

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, 11, 97073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 97,073 = 12,813,636

This can also be written as 22 x 31 x 111 x 97,0731 = 12,813,636

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


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