Q: What are the prime factors of the number 20,814,090?

 A: 2, 3, 5, 11, 63073

Why are those the prime factors of the number 20,814,090?

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 20,814,090

20,814,090
Factor Arrows
210,407,045
Factor Arrows
33,469,015
Factor Arrows
5693,803
Factor Arrows
1163,073

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, 3, 5, 11, 63073

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 11 x 63,073 = 20,814,090

This can also be written as 21 x 31 x 51 x 111 x 63,0731 = 20,814,090

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


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