Q: What are the prime factors of the number 3,301,012?

 A: 2, 11, 13, 29, 199

Why are those the prime factors of the number 3,301,012?

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 3,301,012

3,301,012
Factor Arrows
21,650,506
Factor Arrows
2825,253
Factor Arrows
1175,023
Factor Arrows
135,771
Factor Arrows
29199

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, 11, 13, 29, 199

We can check our work by multiplying all of the prime factors together: 2 x 2 x 11 x 13 x 29 x 199 = 3,301,012

This can also be written as 22 x 111 x 131 x 291 x 1991 = 3,301,012

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


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