Q: What are the prime factors of the number 20,125,427?

 A: 7, 19, 21617

Why are those the prime factors of the number 20,125,427?

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 20,125,427

20,125,427
Factor Arrows
72,875,061
Factor Arrows
7410,723
Factor Arrows
1921,617

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:

7, 19, 21617

We can check our work by multiplying all of the prime factors together: 7 x 7 x 19 x 21,617 = 20,125,427

This can also be written as 72 x 191 x 21,6171 = 20,125,427

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


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