Q: What are the prime factors of the number 699,903?

 A: 3, 19, 4093

Why are those the prime factors of the number 699,903?

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 699,903

699,903
Factor Arrows
3233,301
Factor Arrows
377,767
Factor Arrows
194,093

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, 4093

We can check our work by multiplying all of the prime factors together: 3 x 3 x 19 x 4,093 = 699,903

This can also be written as 32 x 191 x 4,0931 = 699,903

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


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