Q: What are the prime factors of the number 20,790,813?

 A: 3, 17, 41, 61, 163

Why are those the prime factors of the number 20,790,813?

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 20,790,813

20,790,813
Factor Arrows
36,930,271
Factor Arrows
17407,663
Factor Arrows
419,943
Factor Arrows
61163

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, 17, 41, 61, 163

We can check our work by multiplying all of the prime factors together: 3 x 17 x 41 x 61 x 163 = 20,790,813

This can also be written as 31 x 171 x 411 x 611 x 1631 = 20,790,813

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


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