Q: What are the prime factors of the number 12,050,505?

 A: 3, 5, 23, 3881

Why are those the prime factors of the number 12,050,505?

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 12,050,505

12,050,505
Factor Arrows
34,016,835
Factor Arrows
31,338,945
Factor Arrows
3446,315
Factor Arrows
589,263
Factor Arrows
233,881

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, 23, 3881

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 23 x 3,881 = 12,050,505

This can also be written as 33 x 51 x 231 x 3,8811 = 12,050,505

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


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