Q: What are the prime factors of the number 20,591,872?

 A: 2, 7, 11491

Why are those the prime factors of the number 20,591,872?

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 20,591,872

20,591,872
Factor Arrows
210,295,936
Factor Arrows
25,147,968
Factor Arrows
22,573,984
Factor Arrows
21,286,992
Factor Arrows
2643,496
Factor Arrows
2321,748
Factor Arrows
2160,874
Factor Arrows
280,437
Factor Arrows
711,491

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, 11491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11,491 = 20,591,872

This can also be written as 28 x 71 x 11,4911 = 20,591,872

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


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