Q: What are the prime factors of the number 12,668,908?

 A: 2, 7, 53, 8537

Why are those the prime factors of the number 12,668,908?

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 12,668,908

12,668,908
Factor Arrows
26,334,454
Factor Arrows
23,167,227
Factor Arrows
7452,461
Factor Arrows
538,537

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, 53, 8537

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 53 x 8,537 = 12,668,908

This can also be written as 22 x 71 x 531 x 8,5371 = 12,668,908

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


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