Q: What are the prime factors of the number 6,379,630?

 A: 2, 5, 19, 33577

Why are those the prime factors of the number 6,379,630?

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 6,379,630

6,379,630
Factor Arrows
23,189,815
Factor Arrows
5637,963
Factor Arrows
1933,577

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, 5, 19, 33577

We can check our work by multiplying all of the prime factors together: 2 x 5 x 19 x 33,577 = 6,379,630

This can also be written as 21 x 51 x 191 x 33,5771 = 6,379,630

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


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