Q: What are the prime factors of the number 20,628,006?

 A: 2, 3, 7, 79, 6217

Why are those the prime factors of the number 20,628,006?

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 20,628,006

20,628,006
Factor Arrows
210,314,003
Factor Arrows
33,438,001
Factor Arrows
7491,143
Factor Arrows
796,217

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, 79, 6217

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 79 x 6,217 = 20,628,006

This can also be written as 21 x 31 x 71 x 791 x 6,2171 = 20,628,006

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


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