Q: What are the prime factors of the number 20,591,868?

 A: 2, 3, 11, 257, 607

Why are those the prime factors of the number 20,591,868?

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 20,591,868

20,591,868
Factor Arrows
210,295,934
Factor Arrows
25,147,967
Factor Arrows
31,715,989
Factor Arrows
11155,999
Factor Arrows
257607

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, 11, 257, 607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 257 x 607 = 20,591,868

This can also be written as 22 x 31 x 111 x 2571 x 6071 = 20,591,868

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


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