Q: What are the prime factors of the number 3,013,605?

 A: 3, 5, 7, 1063

Why are those the prime factors of the number 3,013,605?

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 3,013,605

3,013,605
Factor Arrows
31,004,535
Factor Arrows
3334,845
Factor Arrows
3111,615
Factor Arrows
337,205
Factor Arrows
57,441
Factor Arrows
71,063

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, 7, 1063

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 7 x 1,063 = 3,013,605

This can also be written as 34 x 51 x 71 x 1,0631 = 3,013,605

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


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