Q: What are the prime factors of the number 20,694,086?

 A: 2, 7, 71, 109, 191

Why are those the prime factors of the number 20,694,086?

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 20,694,086

20,694,086
Factor Arrows
210,347,043
Factor Arrows
71,478,149
Factor Arrows
7120,819
Factor Arrows
109191

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, 7, 71, 109, 191

We can check our work by multiplying all of the prime factors together: 2 x 7 x 71 x 109 x 191 = 20,694,086

This can also be written as 21 x 71 x 711 x 1091 x 1911 = 20,694,086

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


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