Q: What are the prime factors of the number 937,695?

 A: 3, 5, 11, 5683

Why are those the prime factors of the number 937,695?

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 937,695

937,695
Factor Arrows
3312,565
Factor Arrows
562,513
Factor Arrows
115,683

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, 5, 11, 5683

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 5,683 = 937,695

This can also be written as 31 x 51 x 111 x 5,6831 = 937,695

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


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