Q: What are the prime factors of the number 12,681,970?

 A: 2, 5, 7, 23, 7877

Why are those the prime factors of the number 12,681,970?

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 12,681,970

12,681,970
Factor Arrows
26,340,985
Factor Arrows
51,268,197
Factor Arrows
7181,171
Factor Arrows
237,877

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, 5, 7, 23, 7877

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 23 x 7,877 = 12,681,970

This can also be written as 21 x 51 x 71 x 231 x 7,8771 = 12,681,970

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


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