Q: What are the prime factors of the number 20,142,027?

 A: 3, 82889

Why are those the prime factors of the number 20,142,027?

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 20,142,027

20,142,027
Factor Arrows
36,714,009
Factor Arrows
32,238,003
Factor Arrows
3746,001
Factor Arrows
3248,667
Factor Arrows
382,889

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:

3, 82889

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 82,889 = 20,142,027

This can also be written as 35 x 82,8891 = 20,142,027

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


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