Q: What are the prime factors of the number 20,814,092?

 A: 2, 13, 571, 701

Why are those the prime factors of the number 20,814,092?

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 20,814,092

20,814,092
Factor Arrows
210,407,046
Factor Arrows
25,203,523
Factor Arrows
13400,271
Factor Arrows
571701

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, 13, 571, 701

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 571 x 701 = 20,814,092

This can also be written as 22 x 131 x 5711 x 7011 = 20,814,092

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


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