Q: What are the prime factors of the number 680,556?

 A: 2, 3, 56713

Why are those the prime factors of the number 680,556?

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 680,556

680,556
Factor Arrows
2340,278
Factor Arrows
2170,139
Factor Arrows
356,713

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, 3, 56713

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 56,713 = 680,556

This can also be written as 22 x 31 x 56,7131 = 680,556

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


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