Q: What are the prime factors of the number 764,074,633?

 A: 7, 67, 857, 1901

Why are those the prime factors of the number 764,074,633?

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 764,074,633

764,074,633
Factor Arrows
7109,153,519
Factor Arrows
671,629,157
Factor Arrows
8571,901

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, 67, 857, 1901

We can check our work by multiplying all of the prime factors together: 7 x 67 x 857 x 1,901 = 764,074,633

This can also be written as 71 x 671 x 8571 x 1,9011 = 764,074,633

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


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