Q: What are the prime factors of the number 12,630,828?

 A: 2, 3, 7, 21481

Why are those the prime factors of the number 12,630,828?

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 12,630,828

12,630,828
Factor Arrows
26,315,414
Factor Arrows
23,157,707
Factor Arrows
31,052,569
Factor Arrows
7150,367
Factor Arrows
721,481

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, 21481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 21,481 = 12,630,828

This can also be written as 22 x 31 x 72 x 21,4811 = 12,630,828

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


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