Q: What are the prime factors of the number 320,033,021?

 A: 7, 11, 377843

Why are those the prime factors of the number 320,033,021?

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 320,033,021

320,033,021
Factor Arrows
745,719,003
Factor Arrows
114,156,273
Factor Arrows
11377,843

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:

7, 11, 377843

We can check our work by multiplying all of the prime factors together: 7 x 11 x 11 x 377,843 = 320,033,021

This can also be written as 71 x 112 x 377,8431 = 320,033,021

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


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