Q: What are the prime factors of the number 764,421,804?

 A: 2, 3, 21233939

Why are those the prime factors of the number 764,421,804?

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 764,421,804

764,421,804
Factor Arrows
2382,210,902
Factor Arrows
2191,105,451
Factor Arrows
363,701,817
Factor Arrows
321,233,939

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, 3, 21233939

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 21,233,939 = 764,421,804

This can also be written as 22 x 32 x 21,233,9391 = 764,421,804

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


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