Q: What are the prime factors of the number 4,617,305?

 A: 5, 7, 11, 67, 179

Why are those the prime factors of the number 4,617,305?

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 4,617,305

4,617,305
Factor Arrows
5923,461
Factor Arrows
7131,923
Factor Arrows
1111,993
Factor Arrows
67179

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:

5, 7, 11, 67, 179

We can check our work by multiplying all of the prime factors together: 5 x 7 x 11 x 67 x 179 = 4,617,305

This can also be written as 51 x 71 x 111 x 671 x 1791 = 4,617,305

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


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