Q: What are the prime factors of the number 3,217,004?

 A: 2, 7, 19, 6047

Why are those the prime factors of the number 3,217,004?

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 3,217,004

3,217,004
Factor Arrows
21,608,502
Factor Arrows
2804,251
Factor Arrows
7114,893
Factor Arrows
196,047

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, 7, 19, 6047

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 6,047 = 3,217,004

This can also be written as 22 x 71 x 191 x 6,0471 = 3,217,004

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


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