Q: What are the prime factors of the number 937,593?

 A: 3, 19, 5483

Why are those the prime factors of the number 937,593?

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 937,593

937,593
Factor Arrows
3312,531
Factor Arrows
3104,177
Factor Arrows
195,483

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:

3, 19, 5483

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 5,483 = 937,593

This can also be written as 32 x 191 x 5,4831 = 937,593

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


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