Q: What are the prime factors of the number 20,012,025?

 A: 3, 5, 11, 127, 191

Why are those the prime factors of the number 20,012,025?

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 20,012,025

20,012,025
Factor Arrows
36,670,675
Factor Arrows
51,334,135
Factor Arrows
5266,827
Factor Arrows
1124,257
Factor Arrows
127191

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, 5, 11, 127, 191

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 11 x 127 x 191 = 20,012,025

This can also be written as 31 x 52 x 111 x 1271 x 1911 = 20,012,025

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


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