Q: What are the prime factors of the number 764,448?

 A: 2, 3, 7963

Why are those the prime factors of the number 764,448?

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 764,448

764,448
Factor Arrows
2382,224
Factor Arrows
2191,112
Factor Arrows
295,556
Factor Arrows
247,778
Factor Arrows
223,889
Factor Arrows
37,963

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, 7963

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7,963 = 764,448

This can also be written as 25 x 31 x 7,9631 = 764,448

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


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