Q: What are the prime factors of the number 378,560,511?

 A: 3, 7, 6008897

Why are those the prime factors of the number 378,560,511?

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 378,560,511

378,560,511
Factor Arrows
3126,186,837
Factor Arrows
342,062,279
Factor Arrows
76,008,897

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, 6008897

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 6,008,897 = 378,560,511

This can also be written as 32 x 71 x 6,008,8971 = 378,560,511

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


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