Q: What are the prime factors of the number 686,812?

 A: 2, 7, 19, 1291

Why are those the prime factors of the number 686,812?

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 686,812

686,812
Factor Arrows
2343,406
Factor Arrows
2171,703
Factor Arrows
724,529
Factor Arrows
191,291

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:

2, 7, 19, 1291

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 1,291 = 686,812

This can also be written as 22 x 71 x 191 x 1,2911 = 686,812

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


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