Q: What are the prime factors of the number 764,552?

 A: 2, 95569

Why are those the prime factors of the number 764,552?

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 764,552

764,552
Factor Arrows
2382,276
Factor Arrows
2191,138
Factor Arrows
295,569

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, 95569

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 95,569 = 764,552

This can also be written as 23 x 95,5691 = 764,552

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


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