Q: What are the prime factors of the number 6,327,080?

 A: 2, 5, 367, 431

Why are those the prime factors of the number 6,327,080?

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 6,327,080

6,327,080
Factor Arrows
23,163,540
Factor Arrows
21,581,770
Factor Arrows
2790,885
Factor Arrows
5158,177
Factor Arrows
367431

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, 367, 431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 367 x 431 = 6,327,080

This can also be written as 23 x 51 x 3671 x 4311 = 6,327,080

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


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