Q: What are the prime factors of the number 718,268,859?

 A: 3, 7, 11, 863, 1201

Why are those the prime factors of the number 718,268,859?

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 718,268,859

718,268,859
Factor Arrows
3239,422,953
Factor Arrows
379,807,651
Factor Arrows
711,401,093
Factor Arrows
111,036,463
Factor Arrows
8631,201

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, 11, 863, 1201

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 863 x 1,201 = 718,268,859

This can also be written as 32 x 71 x 111 x 8631 x 1,2011 = 718,268,859

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


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