Q: What are the prime factors of the number 12,681,816?

 A: 2, 3, 7, 19, 29, 137

Why are those the prime factors of the number 12,681,816?

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 12,681,816

12,681,816
Factor Arrows
26,340,908
Factor Arrows
23,170,454
Factor Arrows
21,585,227
Factor Arrows
3528,409
Factor Arrows
775,487
Factor Arrows
193,973
Factor Arrows
29137

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, 7, 19, 29, 137

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 19 x 29 x 137 = 12,681,816

This can also be written as 23 x 31 x 71 x 191 x 291 x 1371 = 12,681,816

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


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