Q: What are the prime factors of the number 6,012,531?

 A: 3, 7, 19, 5023

Why are those the prime factors of the number 6,012,531?

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 6,012,531

6,012,531
Factor Arrows
32,004,177
Factor Arrows
3668,059
Factor Arrows
795,437
Factor Arrows
195,023

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, 7, 19, 5023

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 19 x 5,023 = 6,012,531

This can also be written as 32 x 71 x 191 x 5,0231 = 6,012,531

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


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