Q: What are the prime factors of the number 5,709,660?

 A: 2, 3, 5, 11, 41, 211

Why are those the prime factors of the number 5,709,660?

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 5,709,660

5,709,660
Factor Arrows
22,854,830
Factor Arrows
21,427,415
Factor Arrows
3475,805
Factor Arrows
595,161
Factor Arrows
118,651
Factor Arrows
41211

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, 3, 5, 11, 41, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 41 x 211 = 5,709,660

This can also be written as 22 x 31 x 51 x 111 x 411 x 2111 = 5,709,660

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


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