Q: What are the prime factors of the number 20,386,028?

 A: 2, 13, 307, 1277

Why are those the prime factors of the number 20,386,028?

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 20,386,028

20,386,028
Factor Arrows
210,193,014
Factor Arrows
25,096,507
Factor Arrows
13392,039
Factor Arrows
3071,277

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, 13, 307, 1277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 307 x 1,277 = 20,386,028

This can also be written as 22 x 131 x 3071 x 1,2771 = 20,386,028

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


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