Q: What are the prime factors of the number 622,206,039?

 A: 3, 7, 13, 61, 37363

Why are those the prime factors of the number 622,206,039?

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 622,206,039

622,206,039
Factor Arrows
3207,402,013
Factor Arrows
729,628,859
Factor Arrows
132,279,143
Factor Arrows
6137,363

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, 7, 13, 61, 37363

We can check our work by multiplying all of the prime factors together: 3 x 7 x 13 x 61 x 37,363 = 622,206,039

This can also be written as 31 x 71 x 131 x 611 x 37,3631 = 622,206,039

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


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