Q: What are the prime factors of the number 4,614,060?

 A: 2, 3, 5, 11, 6991

Why are those the prime factors of the number 4,614,060?

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 4,614,060

4,614,060
Factor Arrows
22,307,030
Factor Arrows
21,153,515
Factor Arrows
3384,505
Factor Arrows
576,901
Factor Arrows
116,991

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, 6991

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 6,991 = 4,614,060

This can also be written as 22 x 31 x 51 x 111 x 6,9911 = 4,614,060

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


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