Q: What are the prime factors of the number 20,569,020?

 A: 2, 3, 5, 19, 18043

Why are those the prime factors of the number 20,569,020?

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 20,569,020

20,569,020
Factor Arrows
210,284,510
Factor Arrows
25,142,255
Factor Arrows
31,714,085
Factor Arrows
5342,817
Factor Arrows
1918,043

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, 19, 18043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 19 x 18,043 = 20,569,020

This can also be written as 22 x 31 x 51 x 191 x 18,0431 = 20,569,020

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


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