Q: What are the prime factors of the number 20,942,811?

 A: 3, 23, 101173

Why are those the prime factors of the number 20,942,811?

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 20,942,811

20,942,811
Factor Arrows
36,980,937
Factor Arrows
32,326,979
Factor Arrows
23101,173

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:

3, 23, 101173

We can check our work by multiplying all of the prime factors together: 3 x 3 x 23 x 101,173 = 20,942,811

This can also be written as 32 x 231 x 101,1731 = 20,942,811

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


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