Q: What are the prime factors of the number 20,657,718?

 A: 2, 3, 31, 37021

Why are those the prime factors of the number 20,657,718?

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 20,657,718

20,657,718
Factor Arrows
210,328,859
Factor Arrows
33,442,953
Factor Arrows
31,147,651
Factor Arrows
3137,021

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, 31, 37021

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 31 x 37,021 = 20,657,718

This can also be written as 21 x 32 x 311 x 37,0211 = 20,657,718

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


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