Q: What are the prime factors of the number 20,032,540?

 A: 2, 5, 11, 23, 37, 107

Why are those the prime factors of the number 20,032,540?

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 20,032,540

20,032,540
Factor Arrows
210,016,270
Factor Arrows
25,008,135
Factor Arrows
51,001,627
Factor Arrows
1191,057
Factor Arrows
233,959
Factor Arrows
37107

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, 5, 11, 23, 37, 107

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 11 x 23 x 37 x 107 = 20,032,540

This can also be written as 22 x 51 x 111 x 231 x 371 x 1071 = 20,032,540

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


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