Q: What are the prime factors of the number 764,012,672?

 A: 2, 5968849

Why are those the prime factors of the number 764,012,672?

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 764,012,672

764,012,672
Factor Arrows
2382,006,336
Factor Arrows
2191,003,168
Factor Arrows
295,501,584
Factor Arrows
247,750,792
Factor Arrows
223,875,396
Factor Arrows
211,937,698
Factor Arrows
25,968,849

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, 5968849

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5,968,849 = 764,012,672

This can also be written as 27 x 5,968,8491 = 764,012,672

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


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