Q: What are the prime factors of the number 594,936?

 A: 2, 3, 8263

Why are those the prime factors of the number 594,936?

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 594,936

594,936
Factor Arrows
2297,468
Factor Arrows
2148,734
Factor Arrows
274,367
Factor Arrows
324,789
Factor Arrows
38,263

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, 8263

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 8,263 = 594,936

This can also be written as 23 x 32 x 8,2631 = 594,936

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


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