Q: What are the prime factors of the number 682,695?

 A: 3, 5, 13, 389

Why are those the prime factors of the number 682,695?

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 682,695

682,695
Factor Arrows
3227,565
Factor Arrows
375,855
Factor Arrows
325,285
Factor Arrows
55,057
Factor Arrows
13389

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, 13, 389

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 13 x 389 = 682,695

This can also be written as 33 x 51 x 131 x 3891 = 682,695

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


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