Q: What are the prime factors of the number 20,841,561?

 A: 3, 13, 53, 3361

Why are those the prime factors of the number 20,841,561?

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 20,841,561

20,841,561
Factor Arrows
36,947,187
Factor Arrows
32,315,729
Factor Arrows
13178,133
Factor Arrows
533,361

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, 13, 53, 3361

We can check our work by multiplying all of the prime factors together: 3 x 3 x 13 x 53 x 3,361 = 20,841,561

This can also be written as 32 x 131 x 531 x 3,3611 = 20,841,561

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


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