Q: What are the prime factors of the number 20,282,814?

 A: 2, 3, 1126823

Why are those the prime factors of the number 20,282,814?

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 20,282,814

20,282,814
Factor Arrows
210,141,407
Factor Arrows
33,380,469
Factor Arrows
31,126,823

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, 1126823

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 1,126,823 = 20,282,814

This can also be written as 21 x 32 x 1,126,8231 = 20,282,814

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


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