Q: What are the prime factors of the number 20,556,126?

 A: 2, 3, 101, 3769

Why are those the prime factors of the number 20,556,126?

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 20,556,126

20,556,126
Factor Arrows
210,278,063
Factor Arrows
33,426,021
Factor Arrows
31,142,007
Factor Arrows
3380,669
Factor Arrows
1013,769

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, 101, 3769

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 101 x 3,769 = 20,556,126

This can also be written as 21 x 33 x 1011 x 3,7691 = 20,556,126

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


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