Q: What are the prime factors of the number 20,912,936?

 A: 2, 11, 107, 2221

Why are those the prime factors of the number 20,912,936?

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 20,912,936

20,912,936
Factor Arrows
210,456,468
Factor Arrows
25,228,234
Factor Arrows
22,614,117
Factor Arrows
11237,647
Factor Arrows
1072,221

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, 11, 107, 2221

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 11 x 107 x 2,221 = 20,912,936

This can also be written as 23 x 111 x 1071 x 2,2211 = 20,912,936

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


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