Q: What are the prime factors of the number 6,380,512?

 A: 2, 43, 4637

Why are those the prime factors of the number 6,380,512?

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 6,380,512

6,380,512
Factor Arrows
23,190,256
Factor Arrows
21,595,128
Factor Arrows
2797,564
Factor Arrows
2398,782
Factor Arrows
2199,391
Factor Arrows
434,637

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, 43, 4637

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 43 x 4,637 = 6,380,512

This can also be written as 25 x 431 x 4,6371 = 6,380,512

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


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