Q: What are the prime factors of the number 936,831?

 A: 3, 7, 6373

Why are those the prime factors of the number 936,831?

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 936,831

936,831
Factor Arrows
3312,277
Factor Arrows
744,611
Factor Arrows
76,373

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, 7, 6373

We can check our work by multiplying all of the prime factors together: 3 x 7 x 7 x 6,373 = 936,831

This can also be written as 31 x 72 x 6,3731 = 936,831

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


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