Q: What are the prime factors of the number 28,306,806?

 A: 2, 3, 11, 61, 79, 89

Why are those the prime factors of the number 28,306,806?

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 28,306,806

28,306,806
Factor Arrows
214,153,403
Factor Arrows
34,717,801
Factor Arrows
11428,891
Factor Arrows
617,031
Factor Arrows
7989

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, 11, 61, 79, 89

We can check our work by multiplying all of the prime factors together: 2 x 3 x 11 x 61 x 79 x 89 = 28,306,806

This can also be written as 21 x 31 x 111 x 611 x 791 x 891 = 28,306,806

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


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