Q: What are the prime factors of the number 568,644?

 A: 2, 3, 47387

Why are those the prime factors of the number 568,644?

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 568,644

568,644
Factor Arrows
2284,322
Factor Arrows
2142,161
Factor Arrows
347,387

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, 47387

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 47,387 = 568,644

This can also be written as 22 x 31 x 47,3871 = 568,644

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


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